
Understanding Functions and Their Inverses

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
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 value of f(4) for the function f(x) = 1/4 x^2 - 8?
-4
4
0
8
Tags
CCSS.HSF.IF.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the value of f(4) be determined?
Neither method
Both graphically and algebraically
Only algebraically
Only graphically
Tags
CCSS.HSF.IF.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of f(x) = 1/4 x^2 - 8?
1/2 x
1/4 x
1/4 x - 8
1/2 x - 8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slope of the tangent line to f(x) at x = 4?
1
4
2
3
Tags
CCSS.HSF-BF.B.4C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are the graphs of a function and its inverse related?
They are parallel
They are perpendicular
They are reflections across the line y = x
They are identical
Tags
CCSS.HSF-BF.B.4C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which point is on the graph of f inverse if (4, -4) is on f(x)?
(-4, 4)
(4, 4)
(4, -4)
(-4, -4)
Tags
CCSS.HSF-BF.B.4B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the slopes of tangent lines of a function and its inverse?
They are unrelated
They are negative reciprocals
They are reciprocals
They are equal
Tags
CCSS.HSF-BF.B.4A
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