!!! P7.1: Exponential Function Features
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Last updated almost 4 years ago
35 questions
Note from the author:
For each function, find the graph. Determine whether it represents growth or decay. Identify the asymptotes, intercepts, and end behaviors.
The assignment looks long, but it is really only 6 questions with 6 (fairly easy) parts each.
Round any decimals to the nearest hundredth (two decimal places).
For review on exponential function graphs, watch this video. Or this one.
For each function, find the graph. Determine whether it represents growth or decay. Identify the asymptotes, intercepts, and end behaviors.
The assignment looks long, but it is really only 6 questions with 6 (fairly easy) parts each.
Round any decimals to the nearest hundredth (two decimal places).
For review on exponential function graphs, watch this video. Or this one.
f(x) = 2^{x}
1
Does the function represent growth or decay?
Does the function represent growth or decay?
1
What is the asymptote for this function?
Your answer should include an = sign, no spaces.
What is the asymptote for this function?
Your answer should include an = sign, no spaces.
1
What is the x-intercept for this function?
Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
What is the x-intercept for this function?
Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
1
What is the y-intercept for this function?
Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
What is the y-intercept for this function?
Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
1
What is the end behavior on the RIGHT side?
What is the end behavior on the RIGHT side?
1
What is the end behavior on the LEFT side?
What is the end behavior on the LEFT side?
f(x) = 3^{x-2}-7
1
Does the function represent growth or decay?
Does the function represent growth or decay?
1
What is the asymptote for this function?
Your answer should include an = sign, no spaces.
What is the asymptote for this function?
Your answer should include an = sign, no spaces.
1
What is the x-intercept for this function?
Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
What is the x-intercept for this function?
Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
1
What is the y-intercept for this function?
Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
What is the y-intercept for this function?
Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
1
What is the end behavior on the RIGHT side?
What is the end behavior on the RIGHT side?
1
What is the end behavior on the LEFT side?
What is the end behavior on the LEFT side?
f(x) = (\frac{1}{2})^{x+4}-3
1
Does the function represent growth or decay?
Does the function represent growth or decay?
1
What is the asymptote for this function?
Your answer should include an = sign, no spaces.
What is the asymptote for this function?
Your answer should include an = sign, no spaces.
1
What is the x-intercept for this function?
Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
What is the x-intercept for this function?
Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
1
What is the y-intercept for this function?
Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
What is the y-intercept for this function?
Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
1
What is the end behavior on the RIGHT side?
What is the end behavior on the RIGHT side?
1
What is the end behavior on the LEFT side?
What is the end behavior on the LEFT side?
f(x) = 4\cdot (\frac{2}{3})^{x}+1
1
Does the function represent growth or decay?
Does the function represent growth or decay?
1
What is the asymptote for this function?
Your answer should include an = sign, no spaces.
What is the asymptote for this function?
Your answer should include an = sign, no spaces.
1
What is the x-intercept for this function?
Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
What is the x-intercept for this function?
Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
1
What is the y-intercept for this function?
Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
What is the y-intercept for this function?
Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
1
What is the end behavior on the RIGHT side?
What is the end behavior on the RIGHT side?
1
What is the end behavior on the LEFT side?
What is the end behavior on the LEFT side?
f(x) = \frac{1}{2}\cdot 2^{x}-6
1
Does the function represent growth or decay?
Does the function represent growth or decay?
1
What is the asymptote for this function?
Your answer should include an = sign, no spaces.
What is the asymptote for this function?
Your answer should include an = sign, no spaces.
1
What is the x-intercept for this function?
Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
What is the x-intercept for this function?
Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
1
What is the y-intercept for this function?
Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
What is the y-intercept for this function?
Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
1
What is the end behavior on the RIGHT side?
What is the end behavior on the RIGHT side?
1
What is the end behavior on the LEFT side?
What is the end behavior on the LEFT side?
f(x) = -\frac{1}{3}\cdot 6^{x}+5
1
What is the asymptote for this function?
Your answer should include an = sign, no spaces.
What is the asymptote for this function?
Your answer should include an = sign, no spaces.
1
What is the x-intercept for this function?
Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
What is the x-intercept for this function?
Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
1
What is the y-intercept for this function?
Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
What is the y-intercept for this function?
Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.
1
What is the end behavior on the RIGHT side?
What is the end behavior on the RIGHT side?
1
What is the end behavior on the LEFT side?
What is the end behavior on the LEFT side?