Linear vs NonLinear Functions

Front

What is a linear function?

Back

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Its rate of change is not constant, and it can take various forms such as quadratic, exponential, or logarithmic.

Front

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

Back

A linear function will have a constant rate of change between the x-values and y-values. If the differences in y-values divided by the differences in x-values are the same, the function is linear.

Front

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

Back

A nonlinear function will show varying rates of change between the x-values and y-values. If the differences in y-values divided by the differences in x-values are not constant, the function is nonlinear.

Front

What is the general form of a quadratic function?

Back

Front

What does the graph of a linear function look like?

Back

The graph of a linear function is a straight line that can slope upwards, downwards, or be horizontal.

Front

What does the graph of a nonlinear function look like?

Back

The graph of a nonlinear function can take various shapes, such as curves, parabolas, or hyperbolas, and does not form a straight line.

Front

What is the slope of a linear function?

Back

Front

What is the y-intercept of a linear function?

Back

Front

Can a linear function have a negative slope?

Back

Yes, a linear function can have a negative slope, which means the line decreases as it moves from left to right.