What is the end behavior of the graph of f(x) = -0.25x2 – 2x + 1?

Answers

Answer 1

End behavior means what are the y-values doing as the x-values both increase and decrease without bound.

This is a parabola (degree 2) with a negative leading coefficient (−0.25). Therefore both ends of the graph will be going towards negative infinity.

As x increases, f(x) decreases.

As x decreases, f(x) decreases.

Answer 2

Since the highest degree of the given function, f(x) = -0.25x² – 2x + 1 the end behavior of the graph will be down.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that,

f(x) = -0.25x² – 2x + 1

A polynomial function's end behavior defines how the graph acts as x gets closer. The leading term of the function—that is, the term with the highest n-value for a  × n, where n is a positive integer and an is any nonzero number—allows us to infer the function's final behavior.

The highest degree of the given function is 2. When the function is plotted on the graph we get the graph shows downward behavior when x gets closer.

Thus, since the highest degree of the given function, f(x) = -0.25x² – 2x + 1 the end behavior of the graph will be down.

Learn more about the function here:

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What Is The End Behavior Of The Graph Of F(x) = -0.25x2 2x + 1?

Related Questions

The Mountain Spring Water Company is moving their backup supply of drinking water to a different site. Each tank weighs according the table shown here. Determine if the function is linear or not.

both
neither
linear
nonlinear

Answers

Linear, because the X is increasing by one!

Please help it’s urgent!!!

Answers

Answer:

do you still need help

Step-by-step explanation:

simplify pls

8(4x-12)

Answers

Answer:

32x-96

Step-by-step explanation:

8 · 4x = 32x

8 · 12 = 96

The triangles are similar.
What is the value of x?
Enter your answer in the box.
X=

Answers

X=21

If the triangle are similar then you can divide.
75 divided by 25 is 3
72 divided by 21 is 3
so that means if you take 7 times 3 you will get 21
Honestly I don’t even know what this is sorry I tried

What is 9 divided by 0.17

Answers

Answer:

52.94

Step-by-step explanation:

Answer:  It's 52.9411765

Evaluate x^2 when x= -2

help!!

-2
-4
2
4

Answers

I believe that it’s 2

Provide a radian measure of an angle that is 5/8 of a revolution counterclockwise from the x-axis.

Answers

I’m pretty sure but not so sure I think it is 180

Can someone help me with this question?
36x245

Answers

8,820 is the answer. 200x30=6000, 40x30= 1200, 30x5=150, 200x6=1200, 40x6=240, and 6x5=30. Lastly, you would want to add them together to get the total/sum which is 8820. (don’t ask me how I do it).

Find the value of X that makes ABC-DEF

Answers

Answer:

x=4

Step-by-step explanation:

The value of x from the given similar triangles is 7 units.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

The given triangles ABC and DEF are similar triangles.

Here, AB/DE =AC/DF =BC/EF

4/12 =8/3(x+1)

8/3(x+1) =1/3

24=3x+3

3x=24-3

3x=21

x=7

Therefore, the value of x is 7 units.

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The perimeter of the triangle below is 10x - 3

Show how to solve

Answers

10x - 3 = x + 2 + 2x - 1
10x - 3 = 3x + 1
-3x on both sides
7x - 3 = 1
-1 on both sides
7x - 4

(Check 7x - 4 by adding them all up to equal 10x - 3)
x + 2 + 2x - 1 + 7x - 4 = 10x - 3
combine liked terms
10x - 3 = 10x - 3

Answer:
D) 7x - 4

Whoever answers first, I will give Brainliest! :)

Answers

Answer: b there are 12flasses

Step-by-step explanation:

The total surface area of this cuboid is 76 cm.
Find the value of x.
x cm
4 cm
5 cm​

Answers

Answer:

76×5+4

380+4=384

a) This problem involves 8-digit binary strings such as 10011011 or

00001010.

i How many such strings are there?

ii. How many such strings end in 0?

iii. How many such strings have l's for their second and fourth digits?

iv. How many such strings have l's for their second or fourth digits?

b) Find how many 9-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6,

7, 8, 9 if repetition is not allowed and all the odd digits occur first (on the

left) followed by all the even digits.

c) How many permutations of the letters A, B, C, D, E, F, G are there in which

the three letters ABC appear consecutively, in alphabetical order?

Answers

Answer:

a)

i) With an eight digit binary number, there are 2⁸, or 256 possible combinations.

ii) Each digit is set to 1 or 0 for exactly half of all combinations.  This means that half of all strings, or 256 / 2 = 128 strings end with a zero.

iii) 3/4, or 128 + 64 = 192 of the combinations have a 1 for either the second or fourth digit.  If you consider:

Half of all digits will have the second bit set to 1

Half of all digits will have the fourth bit set to 1

Half of those will overlap

Then that's half the digits, plus half the digits, minus half of half the digits. 1/2 + 1/2 - 1/4 = 3/4

iv) This is a duplicate of iii, so again, 192

b) If we're allowed to repeat the usage of the digits, then answer would be the number of values available to the power of the number of digits used.  We're allowed six distinct digits, so the total combination of 9 digit numbers would be 6⁹, or 10077696

c) In this case we can look at it simply as permutations of the set {"ABC", "D", "E", "F"}, which gives us 4! which equals 24

Find the unit tangent vector at the given value of t for the following parameterized curves.

r(t)= ⟨7–√e^t,3e^t,3e^t⟩

, for 0≤t≤1
; t=ln 2

Answers

Answer:

[tex]T(ln2)[/tex][tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Step-by-step explanation:

Given : [tex]r(t)=<7-\sqrt{e^t}, 3e^t,3e^t > .........(i)[/tex]

We first have to differentiate of equation [tex](i)[/tex]

[tex]r'(t) = < \frac{\sqrt{e^t} }{2} , 3e^t,3e^t> ..........(ii)[/tex]

Now to get a unit tangent vector at the given value of [tex]t[/tex], we put [tex]t = ln2[/tex] in equation [tex](ii)[/tex]

[tex]r'(ln2) = < \frac{\sqrt{e^{ln2}} }{2} , 3e^{ln2},3e^{ln2}>[/tex]

            [tex]= <\frac{1}{\sqrt{2} } ,6,6>[/tex]        [∵[tex]e^{lna}=a[/tex]]

Now to get a unit tangent vector , we will divide our vector [tex]r'(ln2)[/tex] by its magnitude. So let's first find the magnitude.

[tex]|r'(ln2)|=\sqrt{(\frac{1}{\sqrt{2} } )^2 +6^2+6^2}[/tex]

             [tex]= \sqrt{\frac{1}{2}+36+36 }[/tex]

             [tex]= \sqrt{\frac{145}{2} }[/tex]

Now we can find the our unit tangents vector.

      [tex]T(ln2)=\frac{r'(ln2)}{|r'(ln2)|}[/tex]

                  [tex]= \frac{<\frac{1}{\sqrt{2}} ,6,6> }{\sqrt{\frac{145}{2}} }[/tex]

                  [tex]= <\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{145}{2}} } ,\frac{6}{{\sqrt{\frac{145}{2}} }}, \frac{6}{{\sqrt{\frac{145}{2}} }} >[/tex]

                   [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Hence, [tex]T(ln2)[/tex] [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

number 2 is 20 percent so j

Step-by-step explanation:

Paul withdrew $17.25 from his savings account every week for 3 weeks. Which equation is the best choice to help him determine the total amount of money he withdrew?

Answers

17.25 times by 3 I’m not sure if this is 100% correct

Answer: (3)(−17.25) = −51.75; he withdrew $51.75

Step-by-step explanation:

hope it helped xx

I GIVEEEE BRAINLILST

Answers

Answer:

reduction

Step-by-step explanation:

the orange is a reduction of the black shape because it is the same shape just smaller

Answer:

it's a reduction because the new shape is smaller than the original shape

Step-by-step explanation:

the size of a rectangular computer screen is determined by the length of its diagonal. tom buys a 52cm screen that is 33 cm high. how Long is the base of the screen?

Answers

Answer:

40.20cm approx

Step-by-step explanation:

Step one

given data

We are told that the dimension of a computer screen

diagonal= 52 cm

height= 33cm

Length = ?

Required

The length of the base of the screen

Step two

Let us use Pythagoras theorem to find the length of the base

Hyp^2= Opp^2+ Adj^2

52^2= 33^2+ L^2

2704= 1089+L^2

L^2= 2704-1089

L^2= 1615

L=√1615

L= 40.20cm approx

The length is 40.20cm approx.

A home-improvement store sold blinds for $35. A customer signed up for a free membership card and received a 7% discount off the price. Sales tax of 7% was applied after the discount. What was the final price of the blinds?

Answers

Answer:35

Step-by-step explanation:

35x93/100=32.55

32.55x107/100=35

Cost of shoes $29.95
Markup: 20%
What is the new cost?

Answers

New cost = original price x (1 + markup)

New cost = 29.95 x ( 1 + 0.20)

New cost = $35.94

I think the answer is 35.94

A company that makes​ hair-care products had 8,000 people try a new shampoo. Of the 8,000 ​people, 32 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answers

Answer:

i think it 0.4%

Step-by-step explanation:

32/8000=0.004
0.004=0.4%

Five full creates of walnuts weigh 195 pounds, whereas an empty crate weighs 10 pounds. How much do the walnuts alone weigh?

Answers

I’m not sure if you want the weight of all the walnuts or the weight of the walnuts in each individual crate, so the answer is either 29 pounds or 145 pounds.
195/ 5= 39, so each crate weighs 39 pounds. Subtracting 10, the walnuts in each crate weigh 29. Since there are 5 crates, multiply 5 by 29 and you get 145 pounds.

Anyone know the answer?

Answers

Answer:

5 feet = 152.4 centimeters      10 inches =25.4

Step-by-step explanation:

I learned from my classes of how to convert feet to centimeters and etc.

152.4,25.4 hope this works

Alex has 21 marbles. Zach has 19 times as many marbles as Alex. How many marbles does Zach have?

Answers

Answer:

399

Step-by-step explanation:

Zach has 21 * 19 marbles

Answer:

zach has 399 marbles

Step-by-step explanation:

according to the caluation

True or False: If an equation has different slopes, it has no solution. ​

Answers

Answer:

it's true. because it has more type of sums and head pain will come

Answer:

When two equations have the same slope but different y-axis, they are parallel. Since the two equations never intersect, the system has no solutions.

you can decide your answer from that explanation!

Write an algebraic expression for each verbal description. a number
!!please help me my assignment is due today at 9!!!

Thirty percent of the green house flowers are added to 25 ferns for the
school garden.

Answers

I believe it may be written like this:
.3g+25f

The algebraic expression is 0.3G+25F

What are algebraic expression?

An algebraic expression is a sentence with a minimum of two numbers or variables and at least one mathematical operation.  

First, we can use G to represent green house flowers and F to represent ferns.

Then thirty percent of the green house flower can be represented by 0.3G.

25 ferns can be written as 25F.

The algebraic expression for the given verbal description is 0.3G+25F.

To learn more about algebraic expressions, use the below link:

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PLEASE ANSWER 16 17 18 CORRECTLY I WILL MARK BRAINLIST

Answers

Answer:

A   A  B

Step-by-step explanation:

Define the domain and range of the relation. (MAFS.912.F-IF.2.4)
{(2,3), (0, 3), (4, 2), (5, 6)}
domain
range

Answers

Domain is the x value range is y
Domain is 2,0,4,5
Range is 3,2,6
uh... i’m not sure sorry .....

A customer wants to book a room with a seaview.
You show her 4 options but only 3 have sea views.
What fraction has a seaview?

Answers

3/4 is the fraction

lol

Hw help ASAPPP
+10PTS

Answers

Y=1/4x +5 is the answer
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