LEAP 2025 Algebra I Chapter 12

DOK: 2
1 pt

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

DOK: 3
1 pt

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

(-1, 16)

B

(0, 64)

C

(4, 256)

D

(8, 16,384)

DOK: 2
1 pt

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

DOK: 2
1 pt

6.

What is the average rate of change of the exponential function $f\left(x\right)={\left(\frac{1}{4}\right)}^{x}+5$ from x = 1 to x = 3?

A

$-\frac{15}{64}$

B

$-\frac{15}{128}$

C

$\frac{15}{128}$

D

$\frac{15}{64}$