Understanding Step Functions and Graphs

Which of the following graphs represents a step function?

• A continuous line graph

• A graph with horizontal line segments and jumps

• A parabolic curve

• A sinusoidal wave

• 7

• 5

• 8

• 9

• 3

• 4

• 5

• 4.5

Which of the following best describes the behavior of a step function?

• It is continuous and smooth.

• It has sudden jumps at certain points.

• It is always increasing.

• It is always decreasing.

• 1

• 0

• 2

• -1

• Linear function

• Quadratic function

• Step function

• Exponential function

• 3

• 4

• 2

• 6

Which of the following is NOT a characteristic of a step function?

• It has a finite number of discontinuities.

• It is defined by constant values over intervals.

• It is continuous everywhere.

• It can model real-world situations with fixed rates.

• 2

• 0

• 1

• 4

• Linear function

• Step function

• Quadratic function

• Exponential function