Free Printable quiz practice

1.

Find the inverse of $f\left(x\right)=-3\log_8\left(-x-6\right)+12$

a)

$f^{-1}\left(x\right)=-\left(8\right)^{-\frac{1}{3}x+4}-6$

b)

$f^{-1}\left(x\right)=\left(6\right)^{-\frac{1}{3}x}+8$

c)

$f^{-1}\left(x\right)=\left(8\right)^{\frac{1}{3}x+4}+6$

2.

Find the inverse of $f\left(x\right)=-4\left(5\right)^{x-7}+12$

a)

$f^{-1}\left(x\right)=\log_5\left(-\frac{1}{4}x+3\right)+7$

b)

$f^{-1}\left(x\right)=7\log_5\left(-\frac{1}{4}x+3\right)$

c)

$f^{-1}\left(x\right)=\log_5\left(x-3\right)-7$

3.

Which of the following is true.

a)

Inverse graphs reflect over the diagonal line y=x

b)

inverse graphs reflect over the x-axis

c)

inverse graphs reflect over the y-axis

4.

What is the base we use if a logarithm function such as $f\left(x\right)=\log\ \left(3x\right)+9$ does not have a base "b"?

a)

10

b)

1

c)

0

d)

2

5.

Find the inverse of $y=\ln\left(x+3\right)$

a)

$y=e^x-3$

b)

$y=e^{x-3}$

c)

$y=e^x+3$

d)

$y=e^{x+3}$

6.

Select all the transformations that apply.

y = log₆ (x - 1) - 5

a)

Horizontal shift left 1

b)

Horizontal shift right 1

c)

Vertical shift up 5

d)

Vertical shift down 5

7.

Select all the transformations that apply.

y = -2 log_0.5x

a)

Vertical stretch

b)

Vertical compression

c)

Reflection across the y-axis

d)

Reflection across the x-axis

8.

What kind of shift happens with this function?

a)

4 points up

b)

4 points to the left

c)

4 points to the right

d)

4 points down

9.

What is the transformation?

a)

Vertical Translation up 1

b)

Vertical Translation down 1

c)

Horizontal Translation left 1

d)

Horizontal Translation right 1

10.

What is the transformation of

f(x)=-1/3(2)^x+3

a)

Reflect over the x axis

Vertical Compression

up three units

b)

Reflect over the y axis

Vertical Compression

up three units

c)

Reflect over the x axis

Vertical Stretch

up three units

d)

Reflect over the x axis

Vertical Compression

up three down

11.

Condense into one log: $2\log_3\left(x\right)+\log_3\left(y\right)$

Remember to use the power property first!

a)

$\log_3\left(2xy\right)\$

b)

$\log_3\left(x^2y\right)$

c)

$\log_3\left(xy\right)^2$

d)

$2\log_3\left(xy\right)$

12.

Write log_b(x/y) as two logs

a)

log_bx-log_by

b)

log_bx+log_by

c)

log_bx*log_by

d)

log_bx/log_by

13.

log(4x)

a)

log4-logx

b)

log4+logx

c)

4logx

d)

xlog4

quiz practice

Total questions: 13

Worksheet time: 28mins

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