Graphing Exponential and Logarithmic Functions

Classify
 f(x)=4/5(.8)^x-9

• Exponential Growth
• Exponential Decay

What is the horizontal asymptote for the graph of 
f(x)=-2(3)^x+4-8 ?

• y=8
• y=-8
• x=-8
• x=-4

What is the horizontal asymptote for the graph of 
f(x)=13(0.5)^x-6 ?

• y=0.5
• y=13
• y=6
• y=0

What is the equation that best represents the graph?

• y=2^y
• y=2^x
• y=2^-x
• y=x²

What is the domain and range of the function y=2^x ?
Use the graph to help!

•  Domain: All Real Numbers
  Range: y>0
• Domain: All Real Numbers
  Range: y>1
• Domain: −2<x<∞
  Range: y>0
• Domain: −∞<x<∞
  Range: y>0

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

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

• Horizontal Shift to the right 1 unit
• Horizontal shift to the left one unit
• Vertical shift one unit up
• Vertical shift one unit down

Using y=3^x as the parent function, what will y=3^{-x look like?}

• Reflection on the x axis
• Reflection on the line y=x
• Reflection on the y axis
• Reflection on y=0

Which function is exponential?

• f(x)
• h(x)
• g(x)

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