Which linear function is represented by the graph?

f(x) = –2x + 1
f(x) = –f(x) equals negative startfraction one-half endfraction x plus 1.x + 1
f(x) = f(x) equals startfraction one-half endfraction x plus 1.x + 1
f(x) = 2x + 1

Step-by-step explanation:

To determine the linear function , pick two points from the given line

(0,1) (4,-1). find the slope using the points

Equation of a line in point slope form is

slope =-1/2, (0,1)

Add 1 on both sides

Step-by-step explanation:

step 1

Find the slope of the linear function

take two points of the graph

(0,1) and (4,-1)

The formula to calculate the slope between two points is equal to

we have

substitute the values

step 2

Find the equation of the linear function in slope intercept form

where

m is the slope

b is the y-intercept

we have

-----> the y-intercept is the point (0,1)

substitute

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1