Graphing Exponential Functions

Classify: 

 $f\left(x\right)=\frac{5}{4}\left(0.8\right)^x-9$  

• Exponential Growth

• Exponential Decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

What is the domain and range of the function y=2^x ?

Use the graph to help!

• Domain: (-oo,+oo)

  Range: (0,+oo)

• Domain: (-oo,+oo)

  Range: (1,+oo)

• Domain: (-2,+oo)

  Range: (0,+oo)

• Domain: (-oo,+oo)

  Range: [0,+oo)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Using the parent function y = 3^x what would the graph of y = 3^x+1 look like?

• Horizontal shift left one unit

• Horizontal shift right one unit

• Vertical shift up one unit

• Vertical shift down one unit

Tags

CCSS.HSF.BF.B.3

What is the horizontal asymptote and what transformations have taken place?

y = 2^x+2 + 1

• y = 2

  right 2, up 1

• y = 1

  left 2, up 1

• y = 1

  right 2, up 1

• y = 2

  right 1, up 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the horizontal asymptote for the graph of

f(x)=-2(3)^x+4-8 ?

• y = 8

• y = -8

• x = -8

• x = -4

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the asymptote?

• y = 0

• x = 2

• y = 1

• x = 0

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

What is the asymptote value in the function?

• y = 3

• y = 2

• y = 7

• y = 0

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the y-intercept for:

 $f\left(x\right)=3\left(2\right)^x-7$  

• (0, 1)

• (0, 3)

• (0, 8)

• (0, -4)

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

Determine the reflection that takes place:

 $f\left(x\right)=2\left(3\right)^{-x+2}-7$  

• Reflect over the x-axis

• Reflect over the y-axis

• Reflect over the line y = x

• No reflection takes place

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5