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Worksheet 10: Exponential Functions

Worksheet 10: Exponential Functions

Worksheet 10: Exponential Functions

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<strong>Worksheet</strong> 14: <strong>Exponential</strong> and Logarithmic <strong>Functions</strong>1. You’ve been assigned a value for a. Write it here: a = ____.a. Sketch the graph of f(x) = a x using your value of a.x32<strong>10</strong>-1-2-3f(x)15<strong>10</strong>50-5-<strong>10</strong> -5 0 5<strong>10</strong>b. State the important information about your function, f(x) = a x .Domain:Range:x-intercept:y-intercept:Asymptote:c. Reverse the numbers in the exponential table to construct a table of logs.Sketch the graph of g(x) = log a (x), and state its important information.xg(x)<strong>10</strong>50-5Domain:Range:x-intercept:y-intercept:Asymptote:-<strong>10</strong>-5 0 5 <strong>10</strong>15


2. Sketch the graph of each of the following functions. State the asymptote and intercepts.a. y = 3 x – 2b. y = -2 x + 1c. y = log2x 4d. y = log 3 (-x) + 3

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