Unit 4 Flashcard Review: Functions and Function Notation

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What does f(6) = 144 mean?

Back

It means that when the input value is 6, the output value of the function f is 144.

Front

Which of the following is a function? (6,-5) (7, -3) (8, -1) (9, 1) or (3,4) (4,-3) (7,4) (3, 8)?

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function because each input value is unique.

Front

What is the output of f(8) if f(x) = -2?

Back

The output is -2.

Front

What does it mean if a graph is not a function?

Back

It means that there are input values that produce more than one output value.

Front

How can you tell if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two pairs have the same first element (input value).

Front

What is function notation?

Back

Function notation is a way to write functions in the form f(x), where f is the function name and x is the input.

Front

If f(x) = 16(3x - 9), what is f(6)?

Back

f(6) = 144.

Front

What is the definition of an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.