Algebra Topic 6 Review - Exponents and Exponential Functions

•  $5^7$  

•  $7^5$  

•  $5^{\frac{1}{7}}$  

•  $7^{\frac{1}{5}}$  

Tags

CCSS.HSN.RN.A.2

 $\left(2^{\frac{x}{5}}\right)\left(2^{\frac{x}{2}}\right)=2^{14}$  

Solve the equation.  x = _____ (just fill in the number)

 $\left(128\right)^{x\ }=\left(\frac{1}{2}\right)^{\left(2x-3\right)}$  

Solve the equation

• x =  $\frac{1}{3}$  

• x =  $-\frac{3}{5}$  

• x = 5

• the equation has no solution

 $\left(\frac{\left(5^x\right)^{\frac{1}{3}}}{5^{\frac{2}{3}}}\right)=5$  

Solve the equation

• x = 3

• x = 1

• x = 5

• x = -1

The domain of  $f\left(x\right)=6^x$  is all real numbers. The range of $f\left(x\right)\ =\ 6^x$  is y > ______

The asymptote of $f\left(x\right)\ =\ 6^x$  is y = ______

Tags

CCSS.HSF-IF.C.7E

The y-intercept of $f\left(x\right)\ =\ 6^x$  is _______.

Tags

CCSS.HSF-IF.C.7E

 $f\left(x\right)=5^x$  

What is the graph of

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

• $f\left(x\right)=\frac{1}{4}\left(12\right)^x$

• $f\left(x\right)=12\left(\frac{1}{3}\right)^x$

• $f\left(x\right)=3\left(4\right)^x$

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

Tags

CCSS.HSF.LE.A.2

Alex has saved $3. He doubles the amount he saves each week. Does this represent an exponential function?

• yes, because it has a constant ratio

• yes, because it has a constant difference

• no, because it has a constant ratio

• no, because it has a constant difference

Tags

CCSS.HSF-LE.A.1A