If there is a graph with a line going through (-1, -1), (0, 0), (1, 1), (2, 2) What is the domain and range?

1 Answer
Jun 29, 2018

Answer:

Domain: #(-oo, oo) " or all Reals"#

Range: #(-oo, oo) " or all Reals"#

Explanation:

Given: a line that goes through #(-1, -1), (0,0), (1, 1), (2,2)#

The slope of the line #m = (y_2-y_1)/(x_2-x_1) = 1#

The #y#-intercept is the point #(0, b) = (0, 0) => b = 0#

Equation of the line: #y = x#

All line equations have the same domain and range:

Domain: #(-oo, oo) " or all Reals"#

Range: #(-oo, oo) " or all Reals"#