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This graph represents a function.

This graph represents a function.-example-1

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The table that contains points from the inverse of the graph function is table D.

How the inverse function is calculated.

Let's locate two points from the graph

consider points (-4,-3) and (0,5)

Equation of a line is given as

y = mx + b

where

m is slope of the line

b is y-intercept

Let's find the slope of the line Using the points located

slope,m = change in y/ change in x

m = y2-y1/x2-x1

= 5-(-3)/0-(-4)

= 8/4 = 2

b is y-intercept = 5

substitute into the equation of line

y = 2x + 5

To find the inverse function swap x for y

x = 2y + 5

2y = x - 5

y = (x -5)/2

When x = -3

y = (-3-5)/2 = -4

when x = -1

y = (-1-5)/2 = -3

when x = 1

y = (1-5)/2 = -2

when x = 3

y = (3-5)/2 = -1

The table that contains points from the inverse of the graph function is table D.

User UrmLmn
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