Question

Need to find the domain, range, x-intercept, y-intercept, and rate of change from the graph

Answer 1

Step-by-step 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

`(-\infty,\infty),`

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

`(-\infty,\infty),`

Step 3

x-intercept

it is when y= 0 , by the graph :

`(-2,0)`

Step 4

y-intercept

it is when x= 0 m by the graph:

`(0,4)`

Step 5

rate of change

Let

P1(-2,0) P2(0,4)

`\begin{gathered} rate\text{ of change=}(y_2-y_1)/(x_2-x_1)=(4-0)/(0-(-2))=(4)/(2)=2 \\ \end{gathered}`

rate of change:2