Question

What is the rule for the function shown in the table?

x|-1|0|1|2
y|-2|1|4|7

A. y = 1/3x + 1
B. y = 3x +1
C. y = 1/3x
D. y = 1/2x + 1

Answer 1

The answer is B: y = 3x + 1

Explanation:

Look at the response above this to see the explanation!

Answer 2

It's a linear function.

`y=mx+b \\ \\x_1=-1 \\ y_1=-2 \\ \\ x_2=0 \\ y_2=1 \\ \\ m=(y_2-y_1)/(x_2-x_1)=\fac{1-(-2)}{0-(-1)}=(1+2)/(0+1)=(3)/(1)=3 \\ \\ y=3x+b \\ (0,1) \\ 1=3 * 0+b \\ 1=0+b \\ b=1 \\ \\ \boxed{y=3x+1} \Leftarrow \hbox{answer C}`