Functions

Front

What is the definition of a function?

Back

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

Front

Is the relation a function? Why? (x-value 11 has two y-values)

Back

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

Front

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

Back

Input is NOT the same as Range, Dependent Value, or Y-Value.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Back

Domain: {0, 1, 2, -4}; Range: {1, -3, -4}.

Front

Is this table a function or not a function? (Example table)

Back

Not a Function.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

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

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.

Front

What is a vertical line test?

Back

A vertical line test is a method to determine if a relation is a function; if a vertical line intersects the graph at more than one point, 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.