Explanation
Step 1
Domain:The domain of a function is the complete set of possible values of the independent variable, by the graph is it a continuous line, so the domain is
[tex](-\infty,\infty),[/tex]
Step 2
Range:The range is the set of all second elements of ordered pairs (y-coordinates), by the graph is it a continuous line, so the range is
[tex](-\infty,\infty),[/tex]
Step 3
x-intercept
it is when y= 0 , by the graph :
[tex](-2,0)[/tex]
Step 4
y-intercept
it is when x= 0 m by the graph:
[tex](0,4)[/tex]
Step 5
rate of change
Let
P1(-2,0) P2(0,4)
[tex]\begin{gathered} rate\text{ of change=}\frac{y_2-y_1}{x_2-x_1}=\frac{4-0}{0-(-2)}=\frac{4}{2}=2 \\ \end{gathered}[/tex]
rate of change:2
