Topic 2-3 Function Notation

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

Which ordered pair would prevent a table from being a function?

Back

An ordered pair with the same first element (x-value) but different second elements (y-values) prevents a table from being a function.

Front

Evaluate f(3) for f(x) = x² + 7.

Back

f(3) = 3² + 7 = 9 + 7 = 16.

Front

What does f(x) represent in function notation?

Back

f(x) represents the output of the function for a given input x, and it is equivalent to y.

Front

Evaluate g(8) for g(x) = 3x + 1.

Back

g(8) = 3(8) + 1 = 24 + 1 = 25.

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

If f(x) = 2x + 3, what is f(0)?

Back

f(0) = 2(0) + 3 = 0 + 3 = 3.

Front

What is the vertical line test?

Back

The 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 example of a non-function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 has two different outputs.