Question

The function f(x) is graphed on the coordinate plane. What is f(−1) ?

Answer 1

The graph displays y = -2x + 1
So, f(-1) would be:
f(-1) = -2(-1) + 1
= 2 + 1
f(-1) = 3

Answer 2

ANSWER


`f( - 1) = 3`

Step-by-step explanation

Method 1

We can determine that,



`f( - 1) = 3`

by tracing directly from the graph as shown in the attachment.


Method 2.


We can find the equation of the line first.

The graph passes through

(0,1) and (1,-1).



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


The equation of the line is of the form,


`y =mx + c`
where


`m = - 2`
is the slope and

`c = 1`
is the y-intercept.


This implies that,


`y = - 2x + 1`



`f( - 1) = - 2( - 1) + 1`
We evaluate to get,



`f( - 1) = 2 + 1 = 3`