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Chapter 10: Q. 449 (page 1067)

Determine whether each graph is the graph of a function and if so, is it one-to-one.

Part (a):

Part (b):

Short Answer

Expert verified

Part (a): It is not a function.

Part (b): It is an one-to-one function.

Step by step solution

01

Part (a) Step 1: Given information.

Consider the given question,

Draw vertical line and horizontal line on the graph,

Since any vertical line intersects the graph for more than one time, the graph is not the graph of a function.

02

Part (b) Step 1: Given information.

Consider the given question,

Draw vertical line and horizontal line on the graph,

Since any vertical line intersects the graph in at most one point, the graph is the graph of a function. Since any horizontal line intersects the graph in at most one point, the graph is the graph of a one-to-one function.

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Most popular questions from this chapter

In the following exercise, find the inverse of each function.

fx=8x-34,x鈮�38

In the following exercises, find the inverse of each function.

f(x)=x6

In the following exercise, find the inverse of each function.

fx=x-33

In the following exercises, find

a.f鈭�g(x)

b.g鈭�f(x)

c.(f.g)(x)

f(x)=3x-1g(x)=5x-3

In the following exercises, graph, on the same coordinate system, the inverse of the one-to-one function shown.
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