Lesson: Graphs of Inverses of Functions Glencoe • Algebra 2 • enVision • Algebra 1 • Common Core • Precalculus • Ron Larson • Tenth Edition • Glencoe • Algebra 2 • Common Core

Mathematics

In this lesson, we will learn how to use a graph to find the inverse of a function and analyze the graphs for the inverse of a function.

Sample Question Videos

  • 01:21

Worksheet: 11 Questions • 1 Video

Q1:

The following is the graph of 𝑓(𝑥)=2𝑥−1.

Which one is the graph of the inverse function 𝑓(𝑥)?

Q2:

Liam is looking for an inverse to 𝑓(𝑥)=−2−(𝑥−4). He starts with the parabola 𝑦=−2−(𝑥−4). He then reflects this in the line 𝑦=𝑥 to get the shown parabola 𝑥=−2−(𝑦−4).

Complete Liam’s work by determining the inverse 𝑓 whose graph is the given solid curve.

Q3:

The following graph is of the function 𝑓(𝑥)=6𝑥+8𝑥+1, with its maximum at 13,9, minimum at (−3,−1), and zero at −43 marked.

Find an expression for the inverse function 𝑓 when 𝑓 is restricted to the interval 𝑥≥13.

What is the domain of 𝑓 in this case?
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