Question

Given the following Linear function sketch the graph of the function and find the domain and range: PLEASE EXPLAIN PLEASE

Answer 1

Plug in 0 for x. This is the y slope intercept, which in your case is -2.

Then plug in 1. 2/7(1) - 2

Do it until you can predict which point on the graph it will be next.

Your range would be a list of your f(x) or y values.

Example: {5, 10, 15,...}

Your range would be a list of your x values, or the numbers you plugged in for x.

Example: {1, 2, 3,...}

Answer 2

This is a linear function. 
when x=0, y=-2

Because the denominator is 7, let's take 7 for x
when x=7, y=0
Now you have the coordiantes of two points (0, -2) and (7, 0)
Locate these two points on your graph, connect them, you have a line
a line is infinite, so the domain and the range are both all real numbers