Evaluating Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output of the function for a specific input value.

Front

What is the notation for a function?

Back

Functions are typically denoted by letters such as f, g, or h, followed by the input in parentheses, e.g., f(x).

Front

How do you find f(2) if f(x) = 2x^2 + 3?

Back

Substitute 2 into the function: f(2) = 2(2)^2 + 3 = 8 + 3 = 11.

Front

Evaluate f(x) = 2x^2 + 5x - 17 for f(-1).

Back

f(-1) = 2(-1)^2 + 5(-1) - 17 = 2 - 5 - 17 = -20.

Front

What is the output of f(5) if f(x) = 3x + 1?

Back

f(5) = 3(5) + 1 = 15 + 1 = 16.

Front

Evaluate h(x) = -x^2 + 3x for h(5).

Back

h(5) = -(5)^2 + 3(5) = -25 + 15 = -10.

Front

How do you evaluate f(x) = -3(x-1) for f(0)?

Back

f(0) = -3(0-1) = -3(-1) = 3.

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.