Whether the graph is a function or not. If it is, is the function one-to-one? The graph is:
Answer to Problem 1CR
Solution:
Yes. The graph is a function but not one-to-one function.
Explanation of Solution
Given information:
The graph is :
Explanation:
Vertical line test is, ‘If any vertical line intersects the graph at more than one point, then that graph is not a function.’
There is no vertical line that intersects the graph at more than one point, as shown in figure below:
Therefore, by vertical line test, given graph is a function.
Horizontal line test is, ‘If any horizontal line intersects the graph at more than one point, then that function is not a one-to-one function.’
There are some horizontal lines which intersect the graph at more than one point, as shown in figure below:
Therefore, by horizontal line test, given graph is not a one-to-one function.
Chapter 5 Solutions
Precalculus
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