The ordered pairs (0, -2), (1, 1), (2, 4), (3, 7), and (4, 10) represent a function. what is a rule that represents this function?

y=3x-2

Step-by-step explanation:

The ordered pairs (0, -2), (1, 1), (2, 4), (3, 7) and (4, 10) represent a linear  function, because 1-(-2)=4-1=7-4=10-7=3.

The equation for the unknown linear function is y=ax+b.

Then

1. -2=a·0+b, b=-2;

2. 1=a·1+b, a=1-b=1-(-2)=3.

Therefore, the equation is y=3x-2.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)