Function or Not

Front

What is a function?

Back

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

Front

Which graph is NOT a function?

Back

A graph that has a vertical line intersecting it at more than one point is NOT a function.

Front

What does it mean for an input to have only one output in a function?

Back

It means that for each value of x (input), there is exactly one corresponding value of y (output).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written as (x, y).

Front

Which of the following ordered pairs would prevent a relation from being a function? (10, 10), (2, 4), (6, 1), (-2, 0)

Back

(-2, 0) would prevent it from being a function if -2 is already paired with another y-value.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

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 a function is defined as f(x) = 2x + 3, what is f(2)?

Back

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