Question

In: Advanced Math

Given the plot of y=f(x) below, find the plot of y=f−1(x). A coordinate plane has a...

Given the plot of y=f(x) below, find the plot of y=f−1(x).

A coordinate plane has a horizontal x-axis labeled from negative 7 to 7 in increments of 1 and a vertical y-axis labeled from negative 7 to 7 in increments of 1. A curve starts at the point left-parenthesis negative 1 comma 0 right-parenthesis, rises at an increasing rate from left to right and passes through left-parenthesis 1 comma 1 right-parenthesis and left-parenthesis 4 comma 6 right-parenthesis.

Select the correct answer below:

A coordinate plane has a horizontal x-axis labeled from negative 7 to 7 in increments of 1 and a vertical y-axis labeled from negative 7 to 7 in increments of 1. A curve starts at the point left-parenthesis 0 comma negative 1 right-parenthesis, rises at a decreasing rate from left to right and passes through left-parenthesis 1 comma 1 right-parenthesis and left-parenthesis 4 comma 3 right-parenthesis.

A coordinate plane has a horizontal x-axis labeled from negative 7 to 7 in increments of 1 and a vertical y-axis labeled from negative 7 to 7 in increments of 1. A curve starts at the point left-parenthesis 0 comma 1 right-parenthesis, rises at a decreasing rate from left to right and passes through left-parenthesis 1 comma 3 right-parenthesis and left-parenthesis 4 comma 5 right-parenthesis.

A coordinate plane has a horizontal x-axis labeled from negative 7 to 7 in increments of 1 and a vertical y-axis labeled from negative 7 to 7 in increments of 1. A curve starts at the point left-parenthesis 1 comma 0 right-parenthesis, falls at an increasing rate from right to left and passes through left-parenthesis negative 1 comma negative 1 right-parenthesis and left-parenthesis negative 3 comma negative 4 right-parenthesis.

A coordinate plane has a horizontal x-axis labeled from negative 7 to 7 in increments of 1 and a vertical y-axis labeled from negative 7 to 7 in increments of 1. From left to right, a curve falls shallowly in quadrant 2, passing through the points left-parenthesis negative 4 comma 6 right-parenthesis and left-parenthesis negative 2 comma 2 right-parenthesis, crosses the positive y axis at 0.5, and ends at left-parenthesis 1 comma 0 right-parenthesis.

Solutions

Expert Solution

graph for y=f(x) at (-1,0),(1,1) & (4,6)

A coordinate plane has a horizontal x-axis labeled from negative 7 to 7 in increments of 1 and a vertical y-axis labeled from negative 7 to 7 in increments of 1. A curve starts at the point left-parenthesis negative 1 comma 0 right-parenthesis, rises at an increasing rate from left to right and passes through left-parenthesis 1 comma 1 right-parenthesis and left-parenthesis 4 comma 6 right-parenthesis.

graph for

So, By graph

A coordinate plane has a horizontal x-axis labeled from negative 7 to 7 in increments of 1 and a vertical y-axis labeled from negative 7 to 7 in increments of 1. A curve starts at the point left-parenthesis 0 comma negative 1 right-parenthesis, rises at a decreasing rate from left to right and passes through left-parenthesis 1 comma 1 right-parenthesis and left-parenthesis 4 comma 3 right-parenthesis.


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