Question 61022
I can't seem to find the function rule for this set of data:
x      y
-2     -2 
0      1
2      4
4      7
If you plot the points and connect them you will see that they make a perfect line like this.
{{{graph(300,200,-10,10,-10,10,1.5x+1)}}}
You were given the y-intercept (0,1), all we need is a slope and we can form the function.
The slope formula {{{m=(y2-y1)/(x2-x1)}}}, m is the slope, (x1,y1) and (x2,y2) are two points on the line.
(x1,y1)=(-2,-2) and (x2,y2)=(0,1)
{{{m=(1-(-2))/(0-(-2))}}}
{{{m=(1+2)/(0+2)}}}
{{{m=3/2}}}
The slope intercept form of a line is {{{highlight(y=mx+b)}}}, m=slope, and (0,b)=y-intercept.
Your m=3/2 and (0,b)=(0,1)
y=(3/2)x+1
You can replace the y with f(x) if you need function notation.
f(x)=(3/2)x+1
Happy Calculating!!!