Domain & Range, Evaluating Functions

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) for which the function is defined.

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

Evaluate f(x) = -4x - 10 for f(-5).

Back

f(-5) = -4(-5) - 10 = 20 - 10 = 10.

Front

Evaluate f(x) = -2x + 13 for f(10).

Back

f(10) = -2(10) + 13 = -20 + 13 = -7.

Front

If C = 2h + 15, what is the maximum value of h if Frank has $33?

Back

C = 33; 33 = 2h + 15; 2h = 18; h = 9.

Front

What is the domain of the function C = 2h + 15 if Frank has $33?

Back

0 < h < 9.

Front

What is the range of the function f(x) = -2x + 13?

Back

The range is all real numbers less than or equal to 13.

Front

Evaluate f(x) = 3x - 5 for f(2).

Back

f(2) = 3(2) - 5 = 6 - 5 = 1.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.