(11/14) Unit 4A: Graphing Exponential & Log Functions

Describe the end behavior of the function shown: y=log₂(x+1)

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Answer explanation

What is the asymptote for the given function: y = log₁₀ (x+3)

• x=-3

• x=3

• y=-3

• y=3

Answer explanation

Log function asymptote is always x=h!!

Describe the transformations of f(x)= -log₂(x+1)

• Left one & reflection over y-axis

• Right one & reflection over y-axis

• Left one & reflection over x-axis

• Right one & reflection over x-axis

Answer explanation

For  $f\left(x\right)=4\cdot3^x$ , find the correct graph, asymptote, domain and range.

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This is an example of.....

• exponential decay

• exponential growth

• constant change

• a linear function

Classify
 f(x)=4/5(.8)^x-9

• Exponential Growth
• Exponential Decay

What is the transformation of

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

• Reflection over x-axis

  Vertical shrink by 1/3

  Up 3

• Vertical shrink by 1/3

  Up 3

• Reflection over x-axis

  Vertical stretch by 2

  Up 3

• Vertical stretch by 2

  Up 3

What is the horizontal asymptote of the exponential function?

• y = 0

• y = 3

• x = 0

• x = 3

• The end behavior of the graph is x →∞, f(x) →⁻∞ and x →⁻∞, f(x) →⁻∞

• The end behavior of the graph is x →∞, f(x) →∞ and x→⁻∞, f(x) →∞

• The end behavior of the graph is x →∞, f(x) →∞ and x→⁻∞, f(x) →2

• The end behavior of the graph is x →∞, f(x) →2 and x→⁻∞, f(x) →∞