Domain & Range

Front

What is the Domain?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the Range?

Back

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

Front

Find the domain of the function: f(x) = 1/(x-3)

Back

The domain is all real numbers except x = 3.

Front

Find the range of the function: f(x) = x^2

Back

The range is y ≥ 0.

Front

What does it mean if a function has a domain of x ≥ 0?

Back

It means that the function is defined for all x-values starting from 0 and going to positive infinity.

Front

If a function has a range of y ≤ 6, what does this indicate?

Back

It indicates that the output values of the function can be any number less than or equal to 6.

Front

Determine the domain of the function: P(t) = 7.5 + 1.25t, where t is the number of toppings.

Back

The domain is 2 ≤ t ≤ 8.

Front

What is the domain of the function defined by the inequality: x > 0?

Back

The domain includes all real numbers greater than 0.

Front

If a pizza shop sells pizzas for $7.50 each plus $1.25 per topping, what is the maximum number of toppings for a delivery if the total cost must be ≤ $90?

Back

The maximum number of toppings is 4.

Front

What is the domain of the function f(x) = √(x-1)?

Back

The domain is x ≥ 1.