Question

Which chart could represent the function of f(x) = -2x + 6

Answer 1

The answer is D---------

Answer 2

D.

Explanation:

For the function

`f(x)=-2x+6`

when x = 0 we get:

`f(0)=-2(0)+6=0+6=6` ⇒ when x = 0, f(x)=6

So we can rule out options B and C because they have different values for the function f(x) when x = 0, and for A and D we have the correct value of 6.

Now, let's check for the value of x = 2, the function is:

`f(2)=-2(2)+6=-4+6=2`

We get that f(x) = 2 when x = 2.This is only true in option D, thus the chart D represents the function
`f(x)=-2x+6`