Graphing Exponential Functions Answers
Complete the tables of values. x 4−x −1 4 0 a 2 b 4 c a = b = c =
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1/16
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1/256
Complete the tables of values.
Identify the horizontal asymptote of each graph.
Identify the domain and range of each function.
b =
1/2
Which statements are true about the graph?
How does the graph of y = 3x compare to the graph of y = 3–x?
Which graph represents the function ?
Which function is graphed on the right?
How can you use transformations to graph this function? Explain your steps.
To graph the function y = 3 * 7^(-x) + 2, start with the parent function y = 7^x. First, reflect the graph across the y-axis to account for the negative exponent, which gives y = 7^(-x). Next, apply a vertical stretch by a factor of 3 to obtain y = 3 * 7^(-x). Finally, shift the graph vertically up 2 units to reach the final function y = 3 * 7^(-x) + 2.
Which of the following did you include in your response?
y = 0y = –3y = –5
✔ 0 to infinity3 to infinitynegative infinity to infinity
How does the graph of y = 3–x compare to the graph of
negative infinity to zero0 to infinity✔ negative infinity to infinity
0 to infinity✔ 3 to infinitynegative infinity to infinity
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