Question 1 (6 points) Select the interval(s) where the function f(x)=2x3−3x2−12x+20 is only increasing.

Question 1 options:

−∞ < x < ∞

0 < x < ∞

−2.5 < x <∞

−1 < x < 2

2 < x < ∞

−∞ < x < −1
Question 2 (6 points)
Select the interval(s) where the function f(x)=x3+4x2+1 is only increasing.

Question 2 options:

−2.7 < x< 1.8

0 < x < 4

−∞
−∞< x < 0

0 < x < ∞

1.8 < x < ∞
Question 3 (3 points)
Identify the interval where the graph is only decreasing.

Question 3 options:

(−2, 1)

(−3, 2)

(−3, −1)

(−4, 2)
Question 4 (3 points)
What is the apparent solution set to the system of equations:

Question 4 options:

{(1.5, 2.5), (3, 2)}

{(−3, 2), (1.5, −3)}

{(−2, −3), (2.5, −1.5)}

{(−2.5, 1.5), (2, −3)}
Question 5 (3 points)
Saved
What are the apparent solutions to the system of equations:

Question 5 options:

{(−4, 3), (−1, 0)}

{(−5, 0), (−313, 0), (−1, 0)}

{(−3, 4), (−2, −2)}

{(0, −5), (0, 5)}
Question 6 (3 points)
Saved
Given f(x)=3x−4 and g(x)=x2−3, find (g ∘ f)(x).

Question 6 options:

9x2+13

3x2−13

9x2−24x+19

9x2−24x+13
Question 7 (3 points)
What are the x-coordinates to the solutions of the system of equations: {x+y+10=0x2+y−2=0
Question 7 options:

x = -3, -7

x = 4, 14

x = -3, 4

x = -4, 3

Question 8 (6 points)
What are the y-coordinates for the solution to the system of equations: {y−x2+9x−6=0y−x+3=0
Make sure to select all the correct answers.

Question 8 options:

9

1

8

6

-3

-9

-2

2

Question 9 (3 points)
Question 9 options:
Given f(x)=2x and g(x)=x2+3, find (g ∘ f)(−3).

Type final answer only in the blank.

Question 10 (3 points)
Question 10 options:
Given f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1).

Type answer only in the box.

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