Algebra Exponential Functions Test Prep 3/10

Solving the Rational Exponent Equation

• A

• B

• C

• D

 $256=4^{\left(x-2\right)}$  

• 6

• 4

• 2

•  $\frac{1}{2}$  

In an exponential function, what does the 'a' represent?

• Slope

• Rate of change

• Y-intercept

• Multiplier

In an exponential function, what does the 'b' represent?

• Slope

• Rate of change

• Y-intercept

• Multiplier

Is the table linear, exponential, or neither?

• Linear

• Exponential

• Neither

Pretend that's a table of x, y values. Which functions models the data in the table? 

x| 1 | 2 | 3 | 4 |
y| 8 |16|32|64|

•  $f\left(x\right)=2\cdot2^x$  

•  $f\left(x\right)=2^x$  

•  $f\left(x\right)=4\cdot2^x$  

•  $f\left(x\right)=8^x$  

What is

 $\frac{1}{125}$ written as a single power?

• ¹/₅³

• 5³

• 5^-3

• ¹/_5-3

Which shoes the function

 $f\left(x\right)=\ 3\cdot2^x$  after a vertical translations 3 units down?

•  $f\left(x\right)=3\cdot2^{\left(x+3\right)}$  

•  $f\left(x\right)=3\cdot2^{\left(x-3\right)}$  

•  $f\left(x\right)=3\cdot2^x+3$  

•  $f\left(x\right)=3\cdot2^x-3$  

 $4^x$  is shown.  Which graph shows  $4^{-x}$  

• 
• 
• 

 $f\left(x\right)=6\left(1.4\right)^x-2$  

What is the y-intercept in the following equation:

• 6

• 1.4

• 2

• -2