1 pt
DOK: 2

1.

What transformations can be applied to the graph of the function $f\left(x\right)={9}^{x}$ to produce the graph of the function $f\left(x\right)={9}^{-\left(x+2\right)}$?

A

a translation of 2 units left then a reflection over the *x*-axis

B

a translation of 2 units left then a reflection over the *y*-axis

C

a translation of 2 units right then a reflection over the *x*-axis

D

a translation of 2 units right then a reflection over the *y*-axis

1 pt
DOK: 3

2.

To solve the exponential equation ${4}^{\sqrt{5x+9}}=16,384$, a table of values was created to produce the graph of the function $f\left(x\right)={4}^{\sqrt{5x+9}}$. Which of the following points cannot be included in the table of values?

A

$\left(-1,16\right)$

B

$\left(0,64\right)$

C

$\left(4,256\right)$

D

$\left(8,16,384\right)$

1 pt
DOK: 2

3.

What is the range of the exponential function $f\left(x\right)=\left(-\frac{3}{5}\right)\left({7}^{x}\right)-13$?

A

$\left(-\infty ,-13\right)$

B

$\left(-\infty ,-\frac{3}{5}\right)$

C

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

D

$\left(-\infty ,7\right)$

1 pt
DOK: 2

4.

What is the approximate solution to the exponential equation $\left(\frac{3}{4}\right)\left({3}^{x+4}\right)=324$?

A

$x=-1.5$

B

$x=1.5$

C

$x=2.5$

D

$x=3.5$

1 pt
DOK: 2

5.

Which of the following exponential equations can be solved with the graph shown?

A

${2}^{x}=5$

B

${2}^{x}=32$

C

${5}^{x}=32$

D

${32}^{x}=5$