Function/Not a Function

Front

What is a function?

Back

A function is a relation where each input (x value) has exactly one output (y value).

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one input (x value) has more than one output (y value).

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

Is the relation {(-2,3), (-4,8), (3,1), (-2,9)} a function?

Back

No, it is not a function because the input -2 has two different outputs (3 and 9).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

If f(x) = 2x + 3, what is f(1)?

Back

f(1) = 2(1) + 3 = 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) for which the function is defined.

Front

What is the range of a function?

Back

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

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 a linear function?

Back

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