Question

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

Answer 1

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"`