Chapter 3 Review: Exponentials and Logarithms

Classify
 $f(x)=\frac{4}{5}(.8)^x-9$  

• Exponential Growth

• Exponential Decay

What is the horizontal asymptote for the graph of 
 $f(x)=-2(3)^{\left(x+4\right)}-8$   ?

• y=8

• y=-8

• x=-8

• x=-4

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

For end behavior what side of the graph is the following notation asking for? $\lim_{x\rightarrow-\infty}f\left(x\right)$  

• left

• right

What is the End behavior $\lim_{x\rightarrow-\infty}f\left(x\right)=$  

•  ∞

•  -∞

•  0

• 1

What is the End behavior $\lim_{x\rightarrow\infty}f\left(x\right)=$  

•  ∞

•  -∞

•  0

• 1

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

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