Free Printable Unit 1: Review Questions

1.

What is the domain of $f\left(x\right)=\sqrt{x+2}$

a)

$\left(2,\infty\right]$

b)

$\left[-2,\infty\right)$

c)

$\left(-\infty,\infty\right)$

d)

$\left(2,\infty\right)$

2.

Which piece wise graph matches this function?

f\left(x\right)\left\{2x+3:\ x>4,\ x^2+2:\ x\le3\right\}

a)

b)

c)

d)

3.

find the domain

$\frac{f\left(x\right)}{g\left(x\right)}$ $f\left(x\right)=3x^2+x-2\ \ \ \ \ \ g\left(x\right)=\sqrt{x}$

a)

$\left(\infty,0\right)$

b)

$\left(-\infty,\infty\right)$

c)

$\left(0,\infty\right]$

d)

$\left(0,\infty\right)$

4.

Solve for
$\left(fog\right)\left(3\right)=f\left(x\right)=\sqrt{x-2}$ $g\left(x\right)=2x^2+2$

a)

$2x^2$

b)

$2x$

c)

$\sqrt{2x^2}$

d)

$\sqrt{2x}$

5.

Describe the transformations
$y=-2\left(x^2-2\right)$

a)

Vertical compressed, reflection about the x axis, shift up 2

b)

Horizontal compressed, shift up 4, reflect about x-axis

c)

vertical stretch, shift up 4, reflect about x-axis

d)

horizontal stretch, shift down 4, reflect about x-axis

6.

Find the inverse

f\left(x\right)=\frac{x+3}{2x+4}

a)

$f^{-1}\left(x\right)=\frac{4x+6}{1-2x}$

b)

$f^{-1}\left(x\right)=\frac{4x-3}{1-2x}$

c)

$f^{-1}\left(x\right)=\frac{2x+3}{2x+1}$

d)

$f^{-1}\left(x\right)=\frac{2x-3}{1+2x}$

Unit 1: Review Questions

Total questions: 6

Worksheet time: 8mins

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