Understanding Domain, Range, and Inverse Functions
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Emma Peterson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the domain of the function f(x) = 4 - x^2 when x is restricted to be greater than or equal to 0?
(-∞, 0]
(-∞, ∞)
[0, 4]
[0, ∞)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the range of the function f(x) = 4 - x^2 expressed in interval notation?
(-∞, 0]
[4, ∞)
[0, 4]
(-∞, 4]
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the maximum value of the function f(x) = 4 - x^2?
4
2
Infinity
0
Tags
CCSS.HSF-BF.B.4C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the domain of a function and the range of its inverse?
The domain of the function is the range of its inverse.
The range of the function is the domain of its inverse.
They are unrelated.
They are the same.
Tags
CCSS.HSF-BF.B.4A
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the inverse of the function f(x) = 4 - x^2?
Solve for x.
Graph the function.
Replace f(x) with y.
Find the derivative.
Tags
CCSS.HSF-BF.B.4D
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the negative square root dropped when finding the inverse of f(x) = 4 - x^2?
Because the domain is restricted.
Because the range is always non-negative.
Because it simplifies the equation.
Because it is not needed for symmetry.
Tags
CCSS.HSF-BF.B.4A
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inverse function of f(x) = 4 - x^2?
f⁻¹(x) = √(4 - x)
f⁻¹(x) = 4 - √x
f⁻¹(x) = x² - 4
f⁻¹(x) = -√(4 - x)
Tags
CCSS.HSF-BF.B.4B
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