Continuous Piecewise Functions

The video tutorial covers graphing piecewise functions, focusing on understanding parent functions and transformations. It explains how to graph different functions on the same graph, handle domain restrictions, and identify domain and range. The tutorial includes examples with linear, sine, quadratic, and absolute value functions, emphasizing the importance of domain constraints and graph continuity.

What is crucial to understand when graphing piecewise functions?

• The speed of graphing

• The color of the graph

• The parent function and transformations

• The type of paper used

Why do we apply domain restrictions to piecewise functions?

• To make them easier to draw

• To ensure they pass the vertical line test

• To make them more complex

• To make them colorful

What happens to the graph of y = 2x - 1 when x is restricted to less than 0?

• It is graphed for all x values

• It is not graphed at all

• It is graphed only for x < 0

• It is graphed only for x > 0

What is the range of a sine function restricted to x < 0?

• From -1 to 1

• From 0 to infinity

• From 0 to 1

• From -1 to 0

What is the range of a quadratic function restricted to x > 0?

• From 0 to infinity

• From negative infinity to 0

• From negative infinity to infinity

• From 0 to 1

How does a vertical stretch affect the graph of an absolute value function?

• It shifts the graph to the right

• It makes the graph narrower

• It shifts the graph to the left

• It makes the graph wider

What is the effect of a horizontal shift on the graph of a square root function?

• It moves the graph up

• It moves the graph left or right

• It moves the graph down

• It changes the slope of the graph

What is the domain of a piecewise function that continues indefinitely to the left and right?

• From 0 to infinity

• From -1 to 1

• From -1 to infinity

• From negative infinity to infinity

How do you graph y = 3 in a piecewise function?

• As a horizontal line

• As a curved line

• As a diagonal line

• As a vertical line

What is the maximum value of the range for a piecewise function with a maximum y-value of 3?

• 2

• 3

• 4

• 1