InkLoopInkLoop/NYS Standards/NY-F.BF.4
NY-F.BF.4
Algebra IIBuilding Functions60 target questions

Find inverse functions. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse.

Sample Practice Questions (3)

1
The graph of a function is shown below. Which of the following graphs best represents the inverse function, ?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y f(x) y=x f^{-1}(x)
AGraph A (reflection over )
BGraph B (reflection over x-axis)
CGraph C (reflection over y-axis)
DGraph D (translation)
Multiple choice · diagramSee Answer + Explanation →
2
The graph of function is shown below. If , which equation represents the line that is the reflection of over the line ?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y f(x) y=x
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
3
The graph shown below represents the function . Which equation represents the inverse function, ?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y f(x)
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
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