Question

CAN I PLEASE GET SOME HELP

The function f(x) is graphed on the coordinate plane.

What is f(−4)?

Answer 1

f(-4) = 4

Explanation:

Let the equation of the function is,

f(x) = mx + b

where m = slope of the line

b = y-intercept of the line

From the graph attached,

Slope =
`\frac{\text{Rise}}{\text{Run}}` =
`(-2)/(4)`

Slope 'm' =
`-(1)/(2)`

y-intercept 'b' = 2

Therefore, function will be,

f(x) =
`-(1)/(2)x+2`

For x = -4,

f(-4) =
`-(1)/(2)(-4)+2`

= 2 + 2

= 4

Which is true from the graph.