Evaluating Functions and Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

If f(2) = 4, how can this be represented as an ordered pair?

Back

(2, 4)

Front

What does g(2) = 3(2) + 1 evaluate to?

Back

7

Front

What does p(8) = 5(8) + 12 represent in the context of Ms. Brackemyer's pencil collection?

Back

After 8 days, Ms. Brackemyer has 52 pencils.

Front

How do you evaluate f(x) = 2x^2 + 5x - 17 at x = -1?

Back

f(-1) = -20

Front

What is the output of g(x) = (5x)/10 when x = 14?

Back

7

Front

What is the meaning of the expression f(x) = 2x^2 + 5x - 17?

Back

It defines a quadratic function where the output depends on the input x.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Front

What does it mean if a function is linear?

Back

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

Front

What is the significance of 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.