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2.3 Concept Prep Assignment: Graphs of Exponential Functions |
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Make
a table of values of inputs and outputs for the exponential function with an
initial value of 1 and a growth factor of 2
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x |
y |
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Make a sketch of your graph here: |
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Repeat
the above for |
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a. Describe, in words, the characteristics of the graphs. |
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b. How are all three graphs similar? |
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c. How are they different from each other? |
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d. What are possible values for the input ? |
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e. Complete: as |
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as
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f. Will the output ever be 0? Why or why not? |
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g. Will the output ever be negative? Why or why not? |
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h. For what values of x is
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i. For what values of x is
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j. Write a formula for an exponential function whose graph hugs the y-axis |
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more closely, i.e. is narrower than the graphs you sketched above. |
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k. Predict where the graphs
of |
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graph then test your prediction on your graphing calculator. |
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