Constant and Step Functions Concepts

The video tutorial explains constant functions, which are represented as horizontal lines on a graph. Regardless of the x-value, the y-value remains constant. An example involving a step function is used to illustrate this concept, highlighting different constant functions within a piecewise function. The tutorial identifies specific constant values and their corresponding domains.

What is the defining characteristic of a constant function?

• It changes y-values with different x-values.

• It has a vertical line on the graph.

• It has a horizontal line on the graph.

• It forms a diagonal line on the graph.

If a constant function has a y-value of -3, what will be the y-value when x is 1552?

• 3

• 0

• 1552

• -3

What is a step function?

• A function with multiple constant segments.

• A function with a continuous curve.

• A function with a single constant value.

• A function with a vertical line.

In the given step function, what is the y-value for the domain from negative infinity to 5?

• y = 6

• y = 0

• y = -2

• y = 2

Which y-value is associated with the domain from 5 to 8 in the step function?

• y = -2

• y = 2

• y = 0

• y = 6

What is the y-value for the domain from 8 onwards in the step function?

• y = 6

• y = 0

• y = 2

• y = -2

How many constant functions are present in the described piecewise function?

• One

• Four

• Two

• Three