Identifying Linear and Nonlinear Functions

What is the primary focus when identifying linear and nonlinear functions from a table?

• The rate of change

• The product of output values

• The sum of input values

• The difference in input values

In a linear function, what should the rate of change be?

• Variable

• Constant

• Zero

• Negative

If the change in output values is 6 and the change in input values is 2, what is the rate of change?

• 4

• 3

• 2

• 6

What indicates a nonlinear function in a table?

• Constant rate of change

• Variable rate of change

• Negative rate of change

• Positive rate of change

In the example, what is the rate of change from 18 to 12?

• -8

• -12

• -6

• -4

How can you identify a linear function from a graph?

• By checking if the graph forms a line

• By checking if the graph forms a curve

• By checking the labels on the graph

• By checking the color of the graph

What does a curved graph indicate?

• A nonlinear function

• A constant function

• A quadratic function

• A linear function

What is the slope in the equation Y = -2x + 3?

• 3

• -2

• 0

• 1

What is the y-intercept in the equation Y = -2x + 3?

• 1

• -2

• 3

• 0

If the rate of change is -2 and the y-intercept is 3, does the table represent the function Y = -2x + 3?

• Not enough information

• Yes

• Maybe

• No