Question

Which function describes the table of values?

x –2 0 2 4
f(x) –7 –1 5 11
A. f(x) = 1 – 3x
B. f(x) = x – 5
C. f(x) = 3x – 1
D. f(x) = 4x + 1

Answer 1



Step-by-step explanation: trust

Answer 2

Opt. C

Explanation:

Since all the given options are lines, we will approach to solution using a line's equation.y=mx+b.

Lets start by using two random points from the table, those will be:

(x2,y2)=(4,11)

(x1,y1)+(2,5)

With those points, lets find the slope, which have the following equation:

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

When evaluating we obtain: m=3

now, to find 'b' value, we need to eval any given point in the equation, we will use (4,11)

11=3*4+b, b=-1

From whee we obtain that f(x)=3x-1