Evaluating Functions and Function Notation

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What is function notation?

Back

Function notation is a way to denote functions using symbols, typically written as f(x), where f is the function name and x is the input.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation and simplify.

Front

What does f(-1) represent in a function?

Back

f(-1) represents the output of the function when the input is -1.

Front

If f(x) = 2x^2 + 5x - 17, what is f(-1)?

Back

f(-1) = -20.

Front

What does p(8) = 52 mean in the context of the function p(x) = 5x + 12?

Back

It means that after 8 days, Ms. Brackemyer has 52 pencils.

Front

What is the ordered pair representation of f(2) = 4?

Back

The ordered pair is (2, 4).

Front

How do you find f(0) in a function?

Back

To find f(0), substitute 0 into the function's equation and simplify.

Front

If f(x) = 6x^2 - 2x + 1, what is f(-2) - 4?

Back

f(-2) - 4 = 25.

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.