North Carolina Math 3 EOC Chapter 1

1 pt

3.

To solve the equation ${x}^{3}-2{x}^{2}-29x-42=0$, the function $f\left(x\right)={x}^{3}-2{x}^{2}-29x-42$ was graphed. At what points does the graph of the function cross the *x*-axis?

A

(-3, 0), (-2, 0), and (-7, 0)

B

(-3, 0), (-2, 0), and (7, 0)

C

(0, -3), (0, -2), and (0, -7)

D

(0, -3), (0, -2), and (0, 7)

1 pt

4.

The graph of the function $f\left(x\right)={x}^{3}+5{x}^{2}+2x-8$ is shown below. What is the solution to the equation ${x}^{3}+5{x}^{2}+2x-8=0$ ?

A

*x* = -4, -2, and 1

B

*x* = -4, 2, and 1

C

*x* = -4, -1, and 4

D

*x* = -2, 1, and 4

1 pt

6.

A polynomial function has a range of $y\ge 22$. Which of these must the function have?

A

A relative maximum

B

A relative minimum

C

An absolute maximum

D

An absolute minimum

1 pt

11.

What are the intervals of increase of the function graphed below?

A

(-$\infty $, -3) and (3, $\infty $)

B

(-$\infty $, -1) and (3, $\infty $)

C

(-$\infty $, 1) and (3, $\infty $)

D

(-$\infty $, 3) and (3, $\infty $)

1 pt

12.

The graph of the function $f\left(x\right)=18{x}^{7}$ was translated 2 units to the left and 12 units up. The graph of which of these functions was produced?

A

$f\left(x\right)=18{(x-2)}^{7}-12$

B

$f\left(x\right)=18{(x-2)}^{7}+12$

C

$f\left(x\right)=18{(x+2)}^{7}-12$

D

$f\left(x\right)=18{(x+2)}^{7}+12$