HW 16- Functions & Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

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

How do you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two pairs have the same first element (input) with different second elements (outputs).

Front

What does f(x) represent?

Back

f(x) represents the output of the function f for the input x.

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

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

Back

No, it is not a function because the input '1' corresponds to two different outputs (2 and 4).

Front

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

Back

Yes, it is a function because each input corresponds to exactly one output.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its output.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if different inputs always produce different outputs.