Functions and Rate of Change

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the equation for the cost of pizzas delivered if each pizza costs $12 and delivery is $3?

Back

c = 12p + 3

Front

How can you determine if a relation is a function?

Back

A relation is a function if every input has exactly one output.

Front

What is the range of a function?

Back

The range is the set of all possible output values of a function.

Front

If a mapping has the pairs (1, 2), (1, 3), (2, 4), is it a function?

Back

No, it is not a function because the input '1' has two different outputs.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is the slope in a linear function?

Back

The slope is the rate of change of the function, representing how much y changes for a change in x.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values for a function.

Front

If a function is represented as f(x) = 2x + 1, what is f(3)?

Back

f(3) = 2(3) + 1 = 7.

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with more than one output.