Explain what the vertical line test is and how it is used.
What is the range of the given function?
{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}
{x | x = –5, –4, –2, 0, 2}
{y | y = –9, –3, 0, 5, 7}
{x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
{y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}
Answers
✧ [tex] \underline{ \underline{ \pink{\large{ \tt{E \: X \: P \: L\: A \: N \: A \: T \: I \: O \: N}}}}}: [/tex]
Part 1 :
☃ [tex] \underline{ \large{ \sf{Vertical \: Line \: Test}}} : [/tex] ⇾ All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called the vertical line test.
If the vertical line intersects the graph of a relation at one point , the relation is a function.If it cuts at more than one point , it is not a function. It means that if there are more points of the graph of a relation of a vertical line , same first component ( pre - image ) has more images ( second component ) which is not the function by definition.( See the attached picture )
In the picture ' 1 ' , The vertical line ( dotted line ) cuts the graph at one point ( P ). Thus the graph represents a function.In the picture ' 2 ' , The vertical line ( dotted line ) cuts the graph at two points P & Q. So, the graph does not represent a function.Part 2 :
☂ The set of all the images of the elements of domain under the function ' f ' is called the range of a function. In other words , the set of second components of a function is called range. We are given the function :
{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}The above numbers [ in bold ] are the range of given function. Now, If we arrange these numbers in ascending order, we get ( -9 , -3 , 0 , 5 , 7 ).
Hence , Choice B [ {y | y = –9, –3, 0, 5, 7} ] is correct.
♕ Hope I helped! ♡
☄ Have a wonderful day / night ! ☼
✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ☥
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Sample Response:
The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.
Related Questions
what is the difference between Whole numbers and Natural numbers
Answers
Answer:
Whole no includes positive as well as negative integer but Natural numbers includes positive integer .
Jackie collects data from two different companies. Each company had four employees. The data is
listed in the tables below.
Company A
Worker's Age in Salary in
Years
Dollars
24
28,000
26
30,000
27
31,000
32
36,000
Company B
Worker's Age in Salary in
Years
Dollars
25
29,000
28
33,000
29
36,000
31
51,000
Which of the following statements is true? Select all that apply.
Answers
Answer:
B, C, E
Step-by-step explanation:
a-ca 30,500<31,000 cb
b-ca 31.24 cb 37.35
c-ca 8 cb 22
d-ca 27.25 cb 28.25
e-ca 51.000
Answer:
The picture has the answer :)
Step-by-step explanation:
look at picture
what is:
k/3 + 17 = 12?
Answers
k/3 + 17 = 12?
k = -15
Answer:
-15
Step-by-step explanation:
yan po ang answer thank you na lang po
How long it will take 2000$ to double if it is invested at 6% interest compounded semi annually
Answers
Answer:
Number of year = 11.725 year (Approx.)
Step-by-step explanation:
Given:
Amount invested = $200
Interest rate = 6% (compounded semi annually)
Future value = 2 x Amount invested
Find:
Number of year
Commutation:
Future value = 2 x Amount invested
Future value = 2 x 200
Future value = $400
Number of year (Semi-annual) = 2n
Interest rate (Semi-annual) = 6% / 2 = 3%
So.
A = P[1+r]ⁿ
400 = 200[1+3%]²ⁿ
2 = [1.03]²ⁿ
n = 11.725 year
Number of year = 11.725 year (Approx.)
Find the area of the shaded region. XTRA POINTS!!!! PLUS BRAILIEST!!!!!!
NO LINKS OR WEBSITES!!!!! YOU WILL GET REPORTED!!!!!
Answers
Answer:
[tex]192.5ft^{2}[/tex]
Step-by-step explanation:
[tex]Area=\frac{260}{369} \pi (8.35^{2} )+\frac{1}{2} (8.35^{2})sin[/tex]
[tex]=158.195+34.3316[/tex]
[tex]=192.5[/tex]
[tex]------------[/tex]
hope it helps..
have a great day!!!
HELP ME ASAP WILL GIVE BRAINLIEST TO ONE THAT ANSWERS CORRECTLY
The Fundamental Counting Principles is used to add all the possible outcomes for each stage of an event.
True or False?
Answers
Answer:
True
Step-by-step explanation:
The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things.
Subtract -21 from 30
Answers
Answer:
-9
Step-by-step explanation:
yu subtract 21 from 30 and and just add a negative before the answer
Is this a polygon
Yes or no
Answers
No its not a polygon.
It has a curve where as a polygon is a plane figure with at least three straight sides and angles
Thanks for the help xoxoate!
Find the area of the figure.
PLS I NEED HELP FAST!
Answers
55 ft
base + base2 / 2 x h
PLZZ NO LINK IF U GET IT RIGHT I WILL GIVE U A BRIANLY
Answers
Answer:
B) f = (6 x 8) + 4
Step-by-step explanation:
Remember this: 1 cup = 8 fl oz
They're asking for the total number of fluid ounces of detergent, and we're given 6 cups and 4 fl oz.
Set up a proportion to find the total number of fl oz from the 6 cups, let variable x be the total oz of the 6 cups:
[tex]\frac{1 cup}{8 oz} = \frac{6 cups}{x oz}[/tex]
The answer should be 48 fl oz, then you add the 4 fl oz to have the total of 52 fl oz.
SORRY just wanted a full break down of the problem solved. I made it too complex than it's supposed to be. Hope my answer helps a bit. :)
22x^5+20x greatest common factor
Answers
Answer:
2x
Step-by-step explanation:
2x(11x^4 + 10)
Review the graph of f(x).
On a coordinate plane, a curve approaches y = 2 in quadrant 2 and curves down and approaches x = negative 1 in quadrant 3. Another curve approaches x = negative 1 in quadrant 2, curves down through (0, 5), and approaches y = 2 in quadrant 1.
Which statement relates limits to an asymptote of the function?
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = 2 so the function has a vertical asymptote at x = 2.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = negative 1 so the function has a vertical asymptote at x = –1.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = 2 so the function has a horizontal asymptote at y = 2.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = negative 1 so the function has a horizontal asymptote at y = –1.
Answers
Answer: C
Step-by-step explanation:
What is the solution to the equation below? Round your answer to two
decimal places.
ex = 0.6
O A. x= -0.51
B. x = 1.82
C. X = -0.22
D. x= 3.98
SUBMIT
Answers
Answer:
A._____________________
The value of x is -0.22.
What is Logarithm?The power to which a number must be increased in order to obtain another number is known as a logarithm.
How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).
Given:
[tex]e^x[/tex] = 0.6
Now, taking log on both side
x log e= log 0.6
x= -0.22184874961
Hence, the value of x is -0.22.
Learn more about logarithm here:
https://brainly.com/question/28346542
#SPJ2
In the accompanying diagram of circle O, chords AB and CD intersect at E and
AC:CB:BD:DÀ= 4:2:6:8
What is the measure of AC, BD, and DEB?
Answers
Answer:
m(arc AC) = 72°
m(arc BD) = 108°
m∠DEB = 90°
Step-by-step explanation:
Ratio of the measure of arc AC, arc BC, arc BD and arc AD = 4 : 2 : 6 : 8
Since, m(arc AC) + m(arc CB) + m(arc BD) + m(arc AD) = 360°
By the property of ratio,
Measure of arc AC = [tex]\frac{4}{4+2+6+8}\times (360^0)[/tex]
= [tex]\frac{4\times 360}{20}[/tex]
= 72°
Measure of arc BD = [tex]\frac{6}{4+2+6+8}\times (360^0)[/tex]
= [tex]\frac{6\times 360}{20}[/tex]
= 108°
Measure of ∠DEB = [tex]\frac{1}{2}m(arcAC + arc BD)[/tex]
= [tex]\frac{1}{2}(72+108)[/tex]
= 90°
A sound wave with amplitude xo is measured by an observer to have an intensity of I0 when the observer is standing 4.0 meters from the source. Which best describes the amplitude of a sound wave and distance from the source where it will be measured with an intensity of 16Io?
Answers
Answer:
C) Increase the amplitude to 2xo and stand 2 meters from the source.
Step-by-step explanation:
Correct on Edge
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2 : Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective. Using the data, construct the 80% confidence interval for the population proportion of disks which are defective. Round your answers to three decimal places.
Answers
Answer:
The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective.
This means that [tex]n = 1067, \pi = \frac{74}{1067} = 0.069[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 - 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.059[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 + 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.079[/tex]
The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).
If the
mean of a, b, c and d is 8 then what
is the
mean
of
A. a+2,b+2,c+2,d+2
B. ½a,½b,½c,½d
Answers
What is 3,000,000 + 800,000 + 20,000 + 6,000 + 600 + 70 + 9 in standard form?
Answers
Answer:
3,826,679
Step-by-step explanation:
Answer:3,826,679
Step-by-step explanation:
PLEASE HELP!! 100 POINTS Will mark brainliest.
Answers
Answer:
m∠1 = mCD = 40°m∠2 = 1/2(mAB) = 1/2*30° = 15°m∠3 = 1/2(mED) = 1/2*50° = 25°m∠4 = 1/2(mAB + mDE) = 1/2(30°+50°) = 40°m∠6 = m∠OEG - m∠DEG = 90° - 1/2(mDE) = 90° - 25° = 65°m∠7 = 1/2(mCD + mDE) = 1/2(40°+50°) = 45°m∠8 = 1/2(mCD + mDE - mAB) = 1/2(40° + 50° - 30°) = 30°m∠10 = 1/2mAE = 1/2(180° - mDE) = 1/2(180° - 50°) = 65°Answer:
hope this help you. look it once.
Giving brainliest!!!!!!
Answers
Answer:
The volume of the composite figure is approximately 434.041 cubic centimeters.
Step-by-step explanation:
The volume of the composite figure ([tex]V[/tex]), in cubic centimeters, is the sum of the volumes of the cuboid ([tex]V_{c}[/tex]), in cubic centimeters, and hemisphere ([tex]V_{h}[/tex]), in cubic centimeters, that is:
[tex]V = V_{c} + V_{h}[/tex] (1)
[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex] (2)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
[tex]l[/tex] - Length, in centimeters.
[tex]R[/tex] - Radius, in centimeters.
If we know that [tex]w = 10\,cm[/tex], [tex]h = 6\,cm[/tex], [tex]l = 5\,cm[/tex] and [tex]R = 4\,cm[/tex], then the volume of the composite figure is:
[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex]
[tex]V = (10\,cm)\cdot (6\,cm)\cdot (5\,cm) + \frac{2\pi}{3}\cdot (4\,cm)^{3}[/tex]
[tex]V \approx 434.041\,cm^{3}[/tex]
The volume of the composite figure is approximately 434.041 cubic centimeters.
Matthew bought 3 pounds of cheese. He sliced the cheese into 8 equal sized pieces. How much does each piece of cheese weigh A. 6 oz B 12 oz C. 24 oz D. 48 oz
Answers
Answer:
6
Step-by-step explanation:
There are 48 oz in 3 pounds, or 16 oz in a pound. Now divide the oz by the equal sizes
48/8=6
A box contains paper clips of three different sizes. The numbers of each size of paper clip are listed below.
· 100 small paper clips.
· 250 medium paper clips.
· 150 large paper clips.
One paper clip is randomly selected from the box. What is the probability that the paper clip selected is either small of medium?
Answers
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Add all paper clip sizes together:
[tex]100 + 250 + 150 = 500[/tex]
They want the probability of either a small or medium being chosen, so you add both paper clips sizes together.
[tex]100 + 250 = 350[/tex]
Now put the number of small and medium paper clips together over the total number of paper clips to find the probability.
Can divide 350 and 500 by 50, which simplifies it down to 7/10.
[tex]\frac{350}{500} = \frac{7}{10}[/tex]
The probability that the paper clip selected is either small or medium is 7/10.
What is the probability that the paper clip is either small or medium?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the paper clip selected is either small or medium = (number of small paper clip / total number of clips) + (number of medium paper clip / total number of clips)
= 100/500 + 250 / 500 = 350 / 500 = 7/10
To learn more about probability, please check: https://brainly.com/question/13234031
What does a equal in the picture below?
Answers
Answer:
28
Step-by-step explanation:
28-10 Your welcome Have a good day
Please help me out with this!
Answers
Answer:
73.3
Step-by-step explanation:
cos(39)= 57/x
x= 57/cos(39)
x=73.3
> Less
All changes saved
12. A brand-new music service is offering specials on individual song downloads. The cost is $0.74 for each
song up to 20 songs per month, and the cost doubles to $1.48 per download for any number of downloads
over 20. How much would it cost to download 28 songs?
> Less
> Less
Answers
Answer:
Downloading 28 songs will cost $26.64.
Step-by-step explanation:
Given that a brand-new music service is offering specials on individual song downloads, and the cost is $ 0.74 for each song up to 20 songs per month, and the cost doubles to $ 1.48 per download for any number of downloads over 20, to determine how much would it cost to download 28 songs the following calculation should be performed:
(20 x 0.74) + (8 x 1.48) = X
14.8 + 11.84 = X
26.64 = X
Therefore, downloading 28 songs will cost $ 26.64.
Could I get help/an explanation on this problem? Thanks
Answers
Answer:
HEY BABE
Step-by-step explanation:
Convert 23 days to weeks and days?
Answers
Answer:
3 weeks and 2 days
Step-by-step explanation:
What are the coordinates of point A I will mark brainliest
Answers
Answer:
the answer would be A: -1 1/4, 3/4
Alisa has $6.27. She has to give that value to a florist using only coins. How would she do it, using the least number of coins.
Answers
Identify the correct statement for the given figure.
Question 14 options:
A)
(5x)° + (2x + 7)° = 90°
B)
90° + (2x + 7)° = (5x)°
C)
(5x)° + (2x + 7)° = 180°
D)
(5x)° = (2x + 7)°
Answers
Hope it helps!!! Good luck