Unit 4 Lessons 1-5

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What does f(20) = 3.1 signify in a function?

Back

It means that when the input is 20, the output of the function f is 3.1.

Front

What is the difference between a linear function and a non-linear function?

Back

A linear function has a constant rate of change and can be graphed as a straight line, while a non-linear function does not have a constant rate of change and can be graphed as a curve.

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

How do you determine if a relation is a function?

Back

A relation is a function if each input value corresponds to exactly one output value. This can be checked using the vertical line test on a graph.

Front

What does it mean for a price to be a function of the number of items?

Back

It means that for each number of items, there is a specific price associated with it, with no ambiguity in pricing.

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols, typically f(x), where f names the function and x is the input variable.

Front

What is a piecewise function?

Back

A piecewise function is a function that has different expressions or rules for different parts of its domain.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; it shows how much the output changes for a unit change in the input.