Function Basics

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What are local maxima in a graph?

Back

Local maxima are points on a graph where the function value is higher than the values of the points immediately adjacent to it.

Front

Is the relation a function? Why?

Back

No, because the x-value 11 has two y-values paired with it.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each x-value is paired with only one y-value.

Front

Which of the following sets of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

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

Front

What is the vertical line test?

Back

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

Front

What is an input in a function?

Back

An input is a value that is fed into a function to produce an output.

Front

What is an output in a function?

Back

An output is the result produced by a function after processing an input.

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output is produced by exactly one input.

Front

What is a domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.