Concept explainers
To find: The number of x-intercepts and y-intercepts can the graph of a function have.
Answer to Problem 39AYU
There can be only one y-intercepts and more than one x-intercepts.
Explanation of Solution
Given information: x-intercepts and y-intercepts of a function.
Calculation: Since, the y-intercept of a function is the output value, and for a function only one output value corresponds to each input value.
Therefore, There can be only one y-intercepts value.
In the case of x-intercepts,
The x-intercepts occur at the input values that corresponds to an output value of zero.
Therefore, It is possible to have more than one x-intercept.
Hence, There can be only one y-intercepts and more than one x-intercepts.
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
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