Comparing Exponential Equations

An exponential function is defined by

 $f\left(x\right)=a\left(b\right)^x$  .
Select all possible values of b so that f(x) represents exponential growth. 

• 0

•  $\frac{1}{10}$  

•  $\frac{1}{2}$  

•  $\frac{11}{10}$  

• 1.3

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

An exponential function is defined by

 $f\left(x\right)=a\left(b\right)^x$  .
Select all possible values of b so that f(x) represents exponential decay. 

• -5

•  $\frac{1}{10}$  

•  $\frac{1}{2}$  

•  $\frac{11}{10}$  

• 1.3

An exponential function is defined by

 $f\left(x\right)=a\left(b\right)^x$  .
What does the variable a represent? Select all options that are true.

• The starting value of the function.

• The growth rate

• the decay rate

• The y value when x = 0

• The x value when y = 0.

Tags

CCSS.HSF.IF.C.7

Which exponential function grows faster?

•  $f\left(x\right)=2\left(8\right)^x$  

•  $f\left(x\right)=8\left(2\right)^x$  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.3

Which exponential function decays faster?

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

•  $f\left(x\right)=2\left(\frac{1}{4}\right)^x$  

Tags

CCSS.HSF.IF.C.9

Which exponential function decays faster?

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

• $f\left(x\right)=3\left(\frac{1}{7}\right)^x$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9

CCSS.HSF.LE.B.5

Which exponential function has a greater starting value?

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

•  $f\left(x\right)=6\left(\frac{1}{7}\right)^x$ 

Tags

CCSS.HSF.LE.B.5

Which exponential function grows faster?

•  $f\left(x\right)=3\left(7\right)^x$ 

•  $f\left(x\right)=6\left(5\right)^x$ 

Tags

CCSS.HSF.IF.C.9

Which exponential function has a greater starting value?

•  $f\left(x\right)=\frac{1}{2}\left(7\right)^x$ 

•  $f\left(x\right)=\frac{4}{5}\left(5\right)^x$ 

Tags

CCSS.HSF.LE.B.5

Which exponential function decays faster?

•  $f\left(x\right)=\frac{1}{2}\left(\frac{3}{4}\right)^x$ 

•  $f\left(x\right)=\frac{4}{5}\left(\frac{1}{8}\right)^x$ 

Tags

CCSS.HSF.IF.C.9