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The equation for the function g is g(x) = x - ⇒ C

Step-by-step explanation:

The form of the equation of the linear function is g(x) = m x + b, where

The formula of the slope is m = , where (x1, y1) and (x2, y2) are 2 points on the line represents the function

From the given table

∵ The points (-3, -13) and (2, -1) belong to the function g(x)

∴ x1 = -3 and y1 = -13

∴ x2 = 2 and y2 = -1

→ Substitute them in the formula above to find m

∵ m = = =

∴ m =

→ Substitute in the form of the equation above

∴ g(x) = x + b

∵ There is only one choice that has m =

∴ The equation for the function g is g(x) = x -

∴ Choice C represents the equation of function g

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

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part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: