Lesson 6 and 8 Functions Review

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed. Instead, it may form curves or other shapes.

Front

How can you identify a nonlinear function from its graph?

Back

You can identify a nonlinear function from its graph by looking for curves or bends in the line, indicating that it does not have a constant 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 difference between a function and not a function?

Back

A function has one output for each input, while a relation that is not a function may have multiple outputs for a single input.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that creates a straight line when graphed, indicating a constant rate of change.

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is y = x^2, which forms a parabola when graphed.

Front

What is an example of a linear function?

Back

An example of a linear function is y = 2x + 3, which creates a straight line when graphed.

Front

How do you determine if a mapping is a function?

Back

To determine if a mapping is a function, check if each input has exactly one output.

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 at more than one point, it is not a function.

Front

What is the definition of a domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.