
Hyperbolic Functions and Their Inverses

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Sophia Harris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the key transformation needed to graph the inverse of a hyperbolic function?
Translate the graph upwards
Scale the graph horizontally
Reflect the graph across the line Y = X
Rotate the graph 90 degrees
Tags
CCSS.HSF-BF.B.4D
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When graphing the inverse hyperbolic sine function, what happens to the domain of the original function?
It becomes the range of the inverse function
It remains unchanged
It becomes the domain of the inverse function
It is halved
Tags
CCSS.HSF-BF.B.4D
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the graph of the inverse hyperbolic cosine function restricted to one side?
To make it pass the horizontal line test
To make it pass the vertical line test
To match the original function
To simplify the graph
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the minimum value of the hyperbolic cosine function?
0
Infinity
-1
1
Tags
CCSS.HSF-BF.B.4A
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the inverse hyperbolic tangent function, what do the horizontal asymptotes become?
Horizontal asymptotes
No asymptotes
Vertical asymptotes
Diagonal asymptotes
Tags
CCSS.HSF-BF.B.4D
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the range of the inverse hyperbolic tangent function?
All real numbers
-Infinity to Infinity
0 to 1
-1 to 1
Tags
CCSS.HSF.TF.B.7
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do the hyperbolic cosecant and its inverse share the same shape?
They have the same domain
They are both linear
They have the same range
Their asymptotes are symmetric
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