4.6 Domain and Range Word Problems

Front

What is the definition of 'Domain' in a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the definition of 'Range' in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

If a gym charges a startup fee of $40 and a monthly fee of $10, what is the range of the function f(x)=40+10x?

Back

$40, $50, $60, ...

Front

In the equation f(x)=30+12.5x, what does 'x' represent?

Back

'x' represents the number of people ordering meals.

Front

What is the domain of the function f(x)=30+12.5x when x is the number of people?

Back

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.

Front

In the equation f(x)=100-2x, what does 'x' represent?

Back

'x' represents the number of days stickers are given out.

Front

What is the largest value in the domain for the function f(x)=100-2x?

Back

50.

Front

If James has $20.25 to spend on gas and gas costs $2.25 per gallon, what is the domain of the function f(x)=20-2.25x?

Back

0 < x < 9.

Front

What is the range of the function f(x)=20-2.25x when x is the number of gallons of gas purchased?

Back

0 < y < 20.25.

Front

How do you determine the domain of a function?

Back

Identify the values of x that can be input into the function without causing any mathematical errors (like division by zero or taking the square root of a negative number).