8.F.1-5 Functions Review

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 does the rate of change in a function represent?

Back

The rate of change represents how much the output value (y) changes for a change in the input value (x). It is often described as the slope of the line in a linear function.

Front

How do you write an equation for a linear function?

Back

A linear function can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Front

What is a nonlinear relationship?

Back

A nonlinear relationship is a relationship between two variables that does not form a straight line when graphed.

Front

How can you determine if a table represents a linear relationship?

Back

A table represents a linear relationship if the rate of change between the x and y values is constant.

Front

What is the y-intercept in a function?

Back

The y-intercept is the value of y when x is 0; it is where the line crosses the y-axis.

Front

What does the equation C = 2h + 15 represent in the context of renting a paddle boat?

Back

This equation represents the total cost (C) of renting a paddle boat for h hours, including a $15 deposit and $2 for each hour.

Front

If Bob saves $40 per month starting with $150, what is the function that models his savings?

Back

The function is y = 40x + 150, where y is the total savings after x months.