Graphing Exponential Functions

Does the function represent exponential growth or decay?

 $y=\frac{1}{8}\left(5\right)^x$  

• Decay

• Growth

Tags

CCSS.HSF.LE.A.1

Identify the horizontal asymptote of the exponential function:

 $y=3\left(\frac{1}{2}\right)^x$  

• y=3

• y=1/2

• x=3

• y=0

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the y-intercept of the graph of the exponential function:

 $y=3\left(\frac{1}{2}\right)^x$  

• (3,0)

• (1/2, 0)

• (0,0)

• (0,3)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation on

 $y=2\left(4\right)^x$  when if becomes  $y=2\left(4\right)^{\left(x-5\right)}$  

• Down 5

• Right 5

• Left 5

• Up 5

Tags

CCSS.HSF.BF.B.3

Describe the transformation on  $y=\frac{1}{4}\left(3\right)^x$  when it becomes  $y=\frac{1}{4\ }\left(3\right)^x-9$  

 

• Down 9

• Left 9

• Right 9

• Up 9

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Identify the horizontal asymptote for the exponential function: $y=\frac{1}{4}\left(3\right)^x-9$  

• y = 0

• y = 3

• y = -9

• No Horizonal Asymptote

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.B.5

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

Identify the horizontal asymptote for the exponential function:

• y = 0

• x = -1

• y = -1

• y = 1

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the domain of the exponential function: $y=5\left(\frac{1}{3}\right)^{\left(x-1\right)}$  

• y > 1

• All real numbers

• y > -1

• x > -1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Identify the range of the exponential function: $y=5\left(\frac{1}{3}\right)^{\left(x-1\right)}$  

• y > 1

• All real numbers

• y > 0

• y > -1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

 $y=8\left(\frac{1}{2}\right)^{\left(x-3\right)}+5$  

Identify the range of the exponential function.

• y > -3

• y > 5

• y < 5

• y > -5

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7