Free Printable Module 10 Mock Practice Quiz

1.

For this graph, what is the function that best describes it

a)

$f\left(x\right)=x$

b)

$f\left(x\right)=1$

c)

$f\left(x\right)=\frac{1}{x}$

d)

$f\left(x\right)=\left|x\right|$

2.

For this graph, choose the function that best describes it.

a)

$f\left(x\right)=\frac{1}{x^2}$

b)

$f\left(x\right)=x^2$

c)

$f\left(x\right)=\left|x\right|$

d)

$f\left(x\right)=\sqrt[]{x}$

3.

For this graph, choose the function that best describes it.

a)

$f\left(x\right)=x^3$

b)

$f\left(x\right)=\frac{1}{x^2}$

c)

$f\left(x\right)=\frac{1}{x}$

d)

$f\left(x\right)=\sqrt[3]{x}$

4.

For this graph, choose the function that best describes it.

a)

$f\left(x\right)=x$

b)

$f\left(x\right)=\frac{1}{x^2}$

c)

$f\left(x\right)=x^2$

d)

$f\left(x\right)=x^3$

5.

Below is the graph of $f\left(x\right)=x^3$ . Translate it to make the graph $f\left(x\right)=\left(x+1\right)^3+2$

6.

The function g is defined as such. Find g(-2).

a)

-2

b)

-1

c)

0

d)

1

7.

The function g is defined as such. Find g(-1.75)

a)

-2

b)

-1

c)

0

d)

1

8.

The function g is defined as such. Find g(1)

a)

-2

b)

-1

c)

0

d)

1

9.

Graph the following piecewised function.

$f\left(x\right)=-5x+3\ if\ x\le2$

$f\left(x\right)=x-4\ if\ x>2$

10.

Is the piecewise function you graphed continuous?

a)

Yes

b)

No

11.

For the function defined in the image, decide whether it is even, odd, or neither

a)

Even

b)

Odd

c)

Neither

12.

For the graph defined below, decide whether it represents a function that is even, odd, or neither.

a)

Even

b)

Odd

c)

Neither

13.

Decide whether the following function is an even function, odd function, or neither.

$g\left(x\right)=-2x^5+3x^2$

a)

Even

b)

Odd

c)

Neither

14.

For the following function, decide whether it represents an even function, odd function, or neither. $h\left(x\right)=-2x^5+3x^3$

a)

Even

b)

Odd

c)

Neither

15.

For the following graph, decide whether it represents an even function, odd function, or neither.

a)

Even

b)

Odd

c)

Neither

16.

Determine the interval(s) for which the function is constant.

(a)

17.

Determine the interval(s) for which the function is strictly decreasing.

(a)

18.

Determine the interval(s) where the function is strictly increasing.

(a)

19.

What are the local minimum values of f?

If multiple separate with a comma

(a)

20.

What are the all values at which f has a local minimum value? If multiple separate with a comma.

(a)

21.

$r\left(x\right)=3x+5$

$s\left(x\right)=x+2$

$\left(r+s\right)\left(x\right)=$ (a)

22.

$g\left(x\right)=x-3$

$h\left(x\right)=4x+1$

$\left(h-g\right)\left(2\right)=$ (a)

23.

$f\left(x\right)=4x^2$

$g\left(x\right)=x-3$

$\left(g\cdot f\right)\left(x\right)=$ ___

a)

$4x^3-3$

b)

$4x^3-3x^2$

c)

$4x^3-12x^2$

d)

$-8x^2$

24.

$g\left(x\right)=-3+2x^2$

$f\left(x\right)=3-7x$

$\left(\frac{g}{f}\right)\left(1\right)=$ (a)

25.

$g\left(x\right)=-3+2x^2$

$f\left(x\right)=3-7x$

What values are not in the domain of $\frac{g}{f}$ ?

(a)

26.

$u\left(x\right)=x^2+5$

$w\left(x\right)=\sqrt[]{x+3}$

$\left(w\ \circ\ u\right)\left(1\right)=$

(a)

27.

$u\left(x\right)=x^2+5$

$w\left(x\right)=\sqrt[]{x+3}$

$\left(u\ \circ\ w\right)\left(1\right)=$

(a)

28.

$H\left(x\right)=6\cdot\sqrt[]{x}-1$

Suppose $\left(f\ \circ\ g\right)\left(x\right)=H\left(x\right)$

What is $f\left(x\right)$ and $g\left(x\right)$ ?

a)

$f\left(x\right)=x-1\ \$

$g\left(x\right)=6\cdot\sqrt[]{x}$

b)

$f\left(x\right)=6x-1$

$g\left(x\right)=\sqrt[]{x}$

c)

$f\left(x\right)=\sqrt[]{x}$

$g\left(x\right)=6x-1$

d)

$f\left(x\right)=6\cdot\sqrt[]{x}$

$g\left(x\right)=x-1$

Module 10 Mock Practice Quiz

Total questions: 28

Worksheet time: 35mins

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