Exponential functions are ones in which the variable is in the exponent. As with other types of functions, there is a parent graph for exponential functions (y = b^x, where b is the base) and we can create other similarly shaped graphs using transformations.
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Question 1
1.
Complete the tables of ordered pairs below for each of the following parent graphs.
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Question 2
2.
Use the points in Question #1 to sketch each graph on the coordinate plane below in the given colors.
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Question 3
3.
Is there any value of x that will make y = 0?
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Question 4
4.
Is there ever any value of x that will make y negative?