Question

5 5 HE The distance a trucker travels on the e highway at 65 mph can be modeled by the function f(x) = 13x, where x is the time in hours and f(x) is the distance in miles. I What is the domain of the function? What is the range of the function?

Answer 1

Domain: 0 ≤ x < ∞ or in interval notation: [0, ∞)

Range 0 ≤ f(x) < ∞ or, in interval notation: [0, ∞)

Explanation:

The domain is the set of all values of the input variable x

The range is the set of all outputs for f(x)

There is no limit on the number of hours the trucker can drive which is the upper bound for x. However there is a lower bound since the hours driven cannot be negative. So the domain is the set of all real numbers x≥ 0

Similarly the distance driven cannot be negative. So the range of the function f(x) is f(x) ≥ 0

Answer:
Domain: 0 ≤ x < ∞ or in interval notation: [0, ∞)

Range 0 ≤ f(x) < ∞ or, in interval notation: [0, ∞)

And this is mathematically speaking of course :)

Answer 2

Domain= set of al possible x values

Range= set of all possible y values

There are no fractions or radicals, so x and y can have any value.

f(x)=13x

Domain= All real numbers ; (-∞,∞)

Range = All real numbers ; (-∞,∞)