Understand linear functions

Front

Does the equation y = x(4 - x) + 1 represent a linear function?

Back

No, it represents a quadratic function because it includes the term x^2.

Front

What is a characteristic of a linear equation?

Back

Graphs as a straight line.

Front

Is the function y = 2x + 3 linear or non-linear?

Back

Linear.

Front

Is the function y = x^2 + 2 linear or non-linear?

Back

Non-linear.

Front

What is the general form of a linear equation?

Back

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 rate of change of y with respect to x.

Front

What is the y-intercept in the equation y = 3x + 4?

Back

4, which is the point where the line crosses the y-axis.

Front

Can a linear function have a slope of zero?

Back

Yes, it represents a horizontal line.

Front

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

Back

Linear functions graph as straight lines, while non-linear functions graph as curves.

Front

What does it mean for a function to be non-linear?

Back

It means the function does not have a constant rate of change and its graph is not a straight line.