Question 11 (5 points) image

Consider points a, b, and c in the graph. Which point is the global maximum?
Question 11 options:

A)

a

B)

c

C)

None of these

D)

b
Question 12 (5 points)
Multiply: (x + 3) (x2 + x – 2)
Question 12 options:

A)

x2 – x – 6

B)

x3 + 4x2 + x – 6

C)

x2 + x – 6

D)

x3 + 3x2 – 2x – 6
Question 13 (5 points)
Factor the polynomial: 2x3 + 16
Question 13 options:

A)

2(x + 2)(x – 2)2

B)

2(x + 2)(x2 – 2x + 4)

C)

2(x + 2)(x2 + 2x + 4)

D)

2(x + 2)(x + 4)
Question 14 (5 points)
Factor x4 – 81.
Question 14 options:

A)

(x2 + 9)(x + 3)(x – 3)

B)

(x + 3)2(x – 3)2

C)

(x2 – 9)(x + 3)(x – 3)

D)

(x2 + 3)(x2 – 3)
Question 15 (5 points)
image

Consider points a, b, and c in the graph. Determine which of these points is relative minima on the interval x = –1 and x = –2 in the graph.
Question 15 options:

A)

a

B)

a and b

C)

b

D)

c
Question 16 (5 points)
image

Identify the zeros of the graphed function.
Question 16 options:

A)

–2, 2

B)

–2, 0, 2

C)

2

D)

–2
Question 17 (5 points)
Which of the following shows the factorization of x3 – x2 + 2x – 2?
Question 17 options:

A)

(x2 + 2)(x + 1)

B)

(x2 + 2)(x – 1)

C)

(x + 2)(x + 1)

D)

(x + 2)(x – 1)
Question 18 (5 points)
image

Consider points a, b, and c in the graph. Determine which of these points is relative maxima on the interval x = –1 and x = 2 in the graph.

Question 18 options:

A)

a and b

B)

c

C)

a

D)

c and b
Question 19 (5 points)
Factor the polynomial: x3 + x2 – 4x – 4
Question 19 options:

A)

(x + 2)(x – 2)(x + 1)

B)

(x2+ 1)(x – 4)

C)

(x – 2)2(x + 1)

D)

(x + 2)2(x + 1)

Question 20 (5 points)
Saved
Consider the function ƒ(x) = –x4 + 9. Determine which of the following is its graph, based on end behavior.
Question 20 options:

A)

image

B)

image

C)

image

D)

image