13.2 Exponential Growth & Decay

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What is the equation that best represents the graph?

• y=2^y

  ^{The domain is all the real numbers and the range is all positive numbers}

• y=2^x

  ^{The domain is all the real numbers and the range is all positive numbers}

• y=2^-x

  ^{The domain is all the real numbers and the range is all positive numbers}

• y=x²

  ^{The domain is all the real numbers and the range is all positive numbers}

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

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For  $f\left(x\right)=3^x$ , find the correct graph, asymptote, domain and range.

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For  $f\left(x\right)=\left(\frac{1}{2}\right)^x$  , find the correct graph, asymptote, domain and range.

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Which graph is an exponential function?

• red

• blue

• green

• none

• The domain is all real numbers

• The y-intercept is at (0,2)

• The graph is increasing

• The graph does not have a y-intercept.

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

•  The domain is all real numbers and the range is all positive numbers.

•  The domain is all positive numbers and the range is all positive numbers.

•  The domain is all negative numbers and the range is all negative numbers.

•  The domain is all real numbers and the range is all negative numbers.