The function c(x) = 0.5x+70 represents the cost c (in dollars) of renting a truck from a moving company, where x is the number of miles you drive the truck. a. graph the function and identify its domain and range. write your answers as inequalities.

Given function: c(x) = 0.5x+70.

Where c is the cost (in dollars) and x is the number of miles you drive the truck.

If we compare given function by slope-intercept form y=mx+b, we get

Slope m = 0.5 in fractions could be written as 1/2.

And y-intercept b =70.

So, in order to graph it, we need to plot y-intercept at 70 first and then plot some more points using rise/run = 1/2.

The red line is the graph for the given function.

We can see that starting value of cost is $70 for 0 number of miles.

x values represents domain and C(x) represents range.

We can take x values greater than or equal to 0 and C values greater than equal to 70.

Therefore, Domain: x≥0 and Range : C(x) ≥ 70.

a

explanation:

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)