Chapter 5: Q. 99 (page 271)

Draw the graph of a one-to-one function that contains the points $(- 2, - 3), (0, 0), a n d (1, 5) .$ Now draw the graph of its inverse. Compare your graph to those of other students. Discuss any similarities. What differences do you see?

Short Answer

Expert verified

The graph of one-to-one and its inverse is

Step by step solution

Step 1. Given Information

The given points are $(- 2, - 3), (0, 0), a n d (1, 5) .$

We have to draw the graph of a one-to-one function that contains the points and draw the graph of its inverse.

Step 2. Sketch the graph

The graph of a one-to-one function that contains the points and its inverse is

As the points $(a, b)$ are of a one-to-one function on the graph then $(b, a)$ points will lie on its inverse function of the graph.

The dotted line in the graph represented the inverse function graph.

The graph of the one-to-one function and its inverse will be symmetrical to the line $y = x .$

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Draw the graph of a one-to-one function that contains the points $(- 2, - 3), (0, 0), a n d (1, 5) .$ Now draw the graph of its inverse. Compare your graph to those of other students. Discuss any similarities. What differences do you see?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Sketch the graph

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Draw the graph of a one-to-one function that contains the points -2,-3,0,0,and1,5.Now draw the graph of its inverse. Compare your graph to those of other students. Discuss any similarities. What differences do you see?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Sketch the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Discrete Mathematics

Statistics

Decision Maths

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

Draw the graph of a one-to-one function that contains the points $(- 2, - 3), (0, 0), a n d (1, 5) .$ Now draw the graph of its inverse. Compare your graph to those of other students. Discuss any similarities. What differences do you see?