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2 years ago

Which of the following graphs could be the graph of the function f(x) = x^3 + 8?

Mathematics

2 answers:

tatiyna2 years ago

6 0

Answer:

Option A

Step-by-step explanation:

Brilliant_brown [7]2 years ago

4 0

we are given

$f(x)=x^3+8$

x-intercept:

we can set

f(x)=0

and then we can solve for x

$x^3+8=0$

$x=-2$

y-intercept:

we can plug x=0

$y=0^3+8$

$y=8$

now, we can draw graph

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The graph of the function f(x) = –(x + 6)(x + 2) is shown below.

schepotkina [342]

Answer:

a. The function is increasing for all real values of x where x < –4.

Step-by-step explanation:

Let me help you, I have answered this question once in Brainly as well

Given the factored form of the function:

f(x) = -(x + 6)(x+2)

<=> f(x) = $-x^{2} - 8x -12$

We will convert to vertex form

$f(x) = -(x+4)^{2} + 4$

Let analyse other possible answers:

a. The function is increasing for all real values of x where x < –4.

True, because the parameter a = - 1 so the graph open down all over its domain

b. The function is increasing for all real values of x where –6 < x < –2.

Wrong, the function decrease in the interval from –4.< x < -2

c. The function is decreasing for all real values of x where x < –6 and where x > –2.

Wrong, the function increase in the interval from -6 < x < -4

d. The function is decreasing for all real values of x where x < –4.

Wrong, The function is increasing for all real values of x where x < –4.

7 0

2 years ago

Read 2 more answers

Rodrigo is helping make mashed potatoes for Thanksgiving. He plans to add 4 fluid ounces of heavy cream to his potatoes. If he b

Katarina [22]

copy the given expression on your answer sheet

4 0

2 years ago

A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $25.92 to download 6 indiv

kati45 [8]

Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire album = y dollars
In respect to person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
In respect to person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second, we get
4x + 3(12.96 - 3x) = 33.93
4x + 38.88 - 9x = 33.93
- 5x = - 4.95
x = 0.99 dollars
Putting the value of x in the first equation, we get
y = 12.96 - 3x
= 12.96 - 2.97
= 9.99 dollars

7 0

2 years ago

How do I know when two fractions are equivalent

vlada-n [284]

Answer:

when they

Step-by-step explanation:

equal the same value when you break them up

3 0

2 years ago

Can someone help me with these both

Anna [14]

Hello,
so all you have to do is match the abbreviations to the triangles. The abbreviations stand for what is the SAME in both triangles, denoted by similar markings on equal sides and angles.

Abbreviations:
SSS = Side-Side-Side
SAS = Side-Angle-Side
ASA = Angle-Side-Angle
AAS = Angle-Angle-Side
HL = Hypotenuse-Leg

* Note - the angle side angle must go around the triangle in that order. ASA has the side BETWEEN the congruent angles.. SSA does NOT work.

(9.) ASA
(10.) AAS
(11.) SSS
(12.) No way to tell if congruent. (only 3 angles no side)
(13.) ASA
(14.) SAS
(15.) HL

7 0

3 years ago