Relations and Functions

Front

Simplify: 20n + 4 + 5 + 7n

Back

27n + 9

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

Is the relation {(1, 2), (2, 3), (1, 4)} a function?

Back

Not a Function (1 is associated with two outputs: 2 and 4).

Front

Is the relation {(1, 2), (2, 3), (3, 4)} a function?

Back

Function (each input has a unique output).

Front

What is the vertical line test?

Back

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

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

Back

f(2) = 2(2) + 3 = 7.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

If g(x) = x^2, what is g(-3)?

Back

g(-3) = (-3)^2 = 9.

Front

What is a linear function?

Back

A function that graphs to a straight line, typically in the form f(x) = mx + b.