4g Warm up (Graphs of Inverse Trig Functions)

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Mathematics
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11th Grade - University
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Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the inverse of a function algebraically?
Add a restriction
Swap the variables
Graph the function
Set the function equal to Y
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it necessary to apply restrictions to some functions to find their inverses?
To eliminate asymptotes
To change the function's range
To simplify the graph
To make them one-to-one
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which test do trigonometric functions fail, indicating they are not one-to-one?
Slope test
Horizontal line test
Vertical line test
Derivative test
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the domain restriction for the inverse tangent function?
0 to π
-π/2 to π/2
-1 to 1
0 to 2π
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the inverse cosine function restricted to make it invertible?
Between 0 and π
Between -π/2 and π/2
Between 0 and 2π
Between -1 and 1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the range of the inverse sine function after applying restrictions?
-π/2 to π/2
0 to π
0 to 2π
-1 to 1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What notation can be used as an alternative to the inverse trigonometric function notation?
Arc notation
Logarithmic notation
Polynomial notation
Exponential notation
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