Question

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

Answer 1

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

Answer 2

Answer:

D.

Step-by-step 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 $f(x)=-2x+6$