Question

The following graph shows the relationship between the length, in feet, of the skid mark left behind when the breaks are applied and the speed of a car, in miles per hour, on a new proposed road surface. The car hit it’s max speed of 110 mph and left a skid mark of 570 ft.

What is the domain of this function?
What is the range of this function?
Explain why the domain and range make sense in context.

Answer 1

Answer:

• Functions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

1. The domain of a function is the set of all acceptable input values (X-values). The range of a function is the set of all output values (Y-values).