Domain & Range, Evaluating Functions

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What is the domain of a function?

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 of a function?

Back

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

Front

Evaluate g(2) if g(x) = 3x + 1.

Back

g(2) = 3(2) + 1 = 7.

Front

If Frank has $33 to spend on paddle boat rental, what is the maximum number of hours he can rent the boat if the cost is C = 2h + 15?

Back

The maximum number of hours is 9, since 2h + 15 ≤ 33.

Front

Evaluate f(-2) if f(x) = x + 3.

Back

f(-2) = -2 + 3 = 1.

Front

Evaluate f(x) = x² for x = -8.

Back

f(-8) = (-8)² = 64.

Front

What is the equation for the total cost of renting a paddle boat?

Back

C = 2h + 15, where C is the total cost and h is the number of hours.

Front

If a meal costs $12.50 per person plus a $30 delivery fee, what is the equation for the total cost?

Back

f(x) = 30 + 12.5x, where x is the number of people.

Front

What is the domain of the function f(x) = 30 + 12.5x for 15 people?

Back

The domain is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}.