a.
To explain why the horizontal line test works.
According to the definition of horizontal line test, if any horizontal line intersects the graph of function
If the function fails the horizontal test, there are some elements in the range that have more than one input (element in the domain). Therefore, the inverse would not be a function because for some elements in the domain would exist more than one element in the range.
b.
To draw a graph for the given points.
Given:
The points are:
Calculation:
Yes, there does not exist any horizontal line which cuts the given points more than once. Hence, the inverse will also be a function. The points and its inverse are plotted on the graph.
Chapter 6 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education