Functions!

Front

What is a function?

Back

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

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a coordinate plane.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

Evaluate f(-2) if f(x) = x + 3.

Back

f(-2) = 1.

Front

What is the range of a function?

Back

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

Front

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

Back

f(2) = 5.

Front

What is the domain of a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.

Front

If f(x) = 2x + 4, what is f(0)?

Back

f(0) = 4.

Front

What is the output of f(x) = x^2 when x = 3?

Back

f(3) = 9.