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1. Which answer is the equation of the line represented in function notation?

2.Given graph for function f (x) given above,find the f (-2). f (-2) =

1 Which answer is the equation of the line represented in function notation2Given graph for function f x given abovefind the f 2 f 2 class=

Respuesta :

calculista

Answer:

Part 1) [tex]f(x)=-(2/3)x-2[/tex]

Part 2) [tex]f(-2)=-2/3[/tex]

Step-by-step explanation:

step 1

Find the equation of the line

Let

[tex]A(-3,0), B(0,-2)[/tex]

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem

The point B is the y-intercept

so

b=-2

Find the slope m

[tex]m=(-2-0)/(0+3)=-2/3[/tex]

substitute

[tex]y=-(2/3)x-2[/tex]

In function notation

[tex]f(x)=-(2/3)x-2[/tex]

step 2

Find f(-2)

substitute the value of x=-2 in the function

[tex]f(-2)=-(2/3)(-2)-2=(4/3)-2=-2/3[/tex]

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