Which of the following describes the end behavior of the function ƒ(x) = –5x3 + 3x2 + x – 9? Question 4 options:

A)

As x → –∞, y → +∞ and as x → +∞, y → –∞

B)

As x → –∞, y → +∞ and as x → +∞, y → +∞

C)

As x → –∞, y → –∞ and as x → +∞, y → –∞

D)

As x → –∞, y → –∞ and as x → +∞, y → +∞
Question 5 (5 points)
What are the real solutions to the equation 4x3 – x2 – 4x + 1 = 0?
Question 5 options:

A)

x = –1, 1

B)

x = –1, 1∕4, 1

C)

x = –1, –1∕4, 1

D)

x = –1, 0, 1∕4
Question 6 (5 points)
Find the zeros of ƒ(x) = x3 + 6x2 + 8x.
Question 6 options:

A)

x = 0, 2, 4

B)

x = –2, –4

C)

x = 2, 4

D)

x = 0, –2, –4
Question 7 (5 points)
Determine if the function ƒ(x) = 3x5 – 9 is even, odd, or neither.
Question 7 options:

A)

Odd

B)

Not enough information given

C)

Neither odd nor even

D)

Even
Question 8 (5 points)
image

The graph is that of a fourth-degree polynomial function. Which of the following correctly shows three factors of the function?
Question 8 options:

A)

(x – 3)(x + 2)(x + 5)

B)

(x + 2)(x – 5)

C)

(x – 3)(x + 5)

D)

(x + 3)(x – 2)(x – 5)
Question 9 (5 points)
For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift
Question 9 options:

A)

left 2 and downward –3.

B)

right 2 and upward 3.

C)

left 3 and downward 2.

D)

right 3 and upward 2.
Question 10 (5 points)
Which of these is a factor of x3 – 3x2 ?
Question 10 options:

A)

x + 2

B)

x – 3

C)

x – 2

D)

x + 3