linear or non-linear?

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It has a constant rate of change, meaning it adds or subtracts the same value for each step.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not create a straight line when graphed. It can change at different rates, such as multiplying or using exponents.

Front

What does it mean for a function to have a constant pattern?

Back

A constant pattern means that the function changes by the same amount each time, which is characteristic of linear functions.

Front

What is the difference between linear and non-linear functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while non-linear functions have varying rates of change and graph as curves or other shapes.

Front

Give an example of a linear function in real life.

Back

An example of a linear function is the cost of a meal that charges a fixed delivery fee plus a constant price per person.

Front

Give an example of a non-linear function in real life.

Back

An example of a non-linear function is the growth of a population, which can double over time, leading to exponential growth.

Front

What is the formula for a linear function?

Back

The formula for a linear function is usually written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, indicating the value of y when x is 0.

Front

How can you identify a linear function from a table of values?

Back

A linear function will show a constant difference in the y-values for equal increments in the x-values.