Periodic Functions and Transformations
11th Grade
•25 Qs
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Periodic Functions and Transformations
Quiz
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
Ms Miles
FREE Resource
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25 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given a graph, how do you know if it represents a periodic phenomenon?
A graph is periodic if it has a straight line.
A graph is periodic if a unique section repeats over and over again.
A graph is periodic if it has no repeating pattern.
A graph is periodic if it has random fluctuations.
Tags
CCSS.HSF.TF.A.4
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which real life situation can not be represented by a periodic function?
a person's height above ground while jumping on a trampoline
the depth of water in a tub as it fills
the depth of water at high or low tide
the height of a cart in a ferris wheel as the wheel spins
Answer explanation
Filling a bathtub with water is not periodic. It rises and then stays constant. It doesn't rise and is constant again. Nothing repeats.
3.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Reflection across the x-axis
Reflection across the y-axis
Answer explanation
Consider any given x-value in f(x)=sin(x). When using g(x)=-sin(x), the y-value will be the opposite. Therefore g(x) is the reflection of f(x) across the x-axis.
Tags
CCSS.HSF-IF.C.7E
4.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
The period of a function is:
how long one cycle is before the function repeats
how high and low the function goes from the center line
Answer explanation
The Period of a periodic function goes from one peak to the next (or from any point to the next matching point).
Tags
CCSS.HSF.TF.A.4
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Amplitude refers to....
the length of the function
how high and low the function varies from the center line.
the difference between the max and min values
Answer explanation
Amplitude is the vertical span from the midline to either the max or min point. Amplitude is always positive because distance is positive.
Tags
CCSS.HSF-IF.C.7E
6.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
The graph of a function is shown. Classify the function.
linear
quadratic
periodic
polynomial
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The graph of a function is shown.
Determine the period.
Answer explanation
Tags
CCSS.HSF-IF.C.7E
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