Review of all things exponential
Authored by Daniel Meyers
Mathematics
9th - 12th Grade
CCSS covered
Used 1+ times
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12 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Match the equation for each graph. You may use Desmos or a graphing calculator to assist you.
y = 4 · 2^x
y = (1/3) · 4^x
y = 3 · 2^x
y = 2 · 3^x
Tags
CCSS.HSF.LE.A.2
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Match the equation for each graph. You may use Desmos or a graphing calculator to assist you.
y = 3 · 2^x
y = 4 · 2^x
y = (1/3) · 6^x
y = 6 · (1/3)^x
Answer explanation
The graph of y = 4 · 2^x shows exponential growth starting at 4 when x=0. This matches the characteristics of the correct choice, while the other options either start at different values or exhibit different growth behaviors.
Tags
CCSS.HSF.LE.A.2
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Match the equation for each graph. You may use Desmos or a graphing calculator to assist you.
y = 3 · (1/2)^x
y = 4 · (1/2)^x
y = (1/4) · (1/4)^x
y = 2 · (1/2)^x
Answer explanation
The graph of y = 2 · (1/2)^x shows a decay starting at 2, which matches the correct choice. Other options either start at different values or have different decay rates.
Tags
CCSS.HSF.LE.A.2
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Match the equation for each graph. You may use Desmos or a graphing calculator to assist you.
y = (1/2) · 5^x
y = 3 · (1/2)^x
y = (1/4) · (1/4)^x
y = 5 · (1/2)^x
Answer explanation
The graph of y = (1/4) · (1/4)^x shows exponential decay starting from a positive value, consistent with the characteristics of this equation. The other options do not match the graph's behavior.
Tags
CCSS.HSF.LE.A.2
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Identify the equation that matches the graph.
y = (1/3) * 4^x + 1
y = 5 * (1/4)^x + 2
y = 2 * 2^x - 1
y = (1/4) * 5^x + 2
Answer explanation
The graph shows exponential growth starting from a negative value, which aligns with y = 2 * 2^x - 1. This equation indicates a vertical shift downwards, matching the graph's behavior.
Tags
CCSS.HSF.LE.A.2
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Identify the equation that matches the graph.
y = 5 * 2^(x+1)
y = 5 * 2^(x-1)
y = 5 * 2^x + 1
y = 5 * 2^x - 1
Answer explanation
The correct equation is y = 5 * 2^x + 1 because it represents an exponential function that shifts the graph upward by 1 unit, matching the observed graph behavior.
Tags
CCSS.HSF.LE.A.2
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Identify the equation that matches the graph.
y = (1/2) * (1/5)^x - 1
y = (1/2) * (1/5)^(x-1)
y = 3 * (1/2)^x - 1
y = (1/3) * (1/2)^(x-1) - 2
Answer explanation
The correct equation, y = (1/3) * (1/2)^(x-1) - 2, matches the graph's characteristics, showing a decay pattern with a vertical shift downwards, consistent with the graph's behavior.
Tags
CCSS.HSF.LE.A.2
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