Functions, Functions, Functions

Front

What is the definition of a function?

Back

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

Front

What are all of the x values or inputs called?

Back

Domain

Front

Which of these is NOT the same as the others: Range, Input, Dependent Value, Y-Value?

Back

Input

Front

Which set 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)

Front

Is the relation a function? Why? Yes, because the x-value 11 has two y-values pair with it. Yes, because each x-value has only one y-value paired with it. No, because the x-value 11 has two y-values pair with it. No, because each x-value has only one y-value paired with it.

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) of a function.

Front

What is the difference between a function and a relation?

Back

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

Front

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

Back

A one-to-one function means that each output is paired with exactly one input, and no two inputs share the same output.

Front

What is a 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 more than once, it is not a function.

Front

What is an independent variable in a function?

Back

The independent variable is the input value (usually x) that can be changed freely.