Question

The distance a trucker travels on the highway at 65 mph can be modeled by the function f(x)=65x , where x is the time in hours and f(x) is the distance is miles. What are the domain and range of the function? The domain of the function is The range of the function is

Answer 1

Explanation:

The domain are the values of the input variables x that will make the function exist.

Given the function:

f(x) = 65x

Note that x is the time and time cannot be negative. Hence the domain of the function will be all positive real numbers. It is expressed according to the set notation:

DOMAIN: [0, ∞)

The range are the values of the output function f(x) that will make the function exist. Since the minimum value of x is 0, then

at x =0 , f(x) = 65(0)

f(x) = 0

The minimum value of f(x) = 0

Hence the range can also exist on all positive real number.

RANGE: [0, ∞)