How to Graph a Piece Wise Function with Transformations

The video tutorial covers graphing piecewise functions, starting with a review of basic graphing without transformations. It then delves into understanding parent graphs and applying transformations such as reflection and compression. The tutorial also explains graphing absolute value functions and how to apply transformations to them. Finally, it combines these graphs into a piecewise function and discusses the domain and range, highlighting any discontinuities.

What is the primary focus when graphing piecewise functions with transformations?

• Using graphing technology

• Memorizing the equations

• Ignoring transformations

• Understanding the parent graph and transformations

What is the effect of multiplying by a negative inside the square root function?

• Horizontal shift

• No effect

• Vertical stretch

• Reflection about the Y-axis

How does a horizontal compression affect the graph of a function?

• It shifts the graph to the right

• It reflects the graph over the X-axis

• It compresses the graph horizontally

• It stretches the graph vertically

What is the shape of the absolute value function graph?

• A straight line

• A V shape

• A U shape

• A circle

How does adding a constant inside the absolute value function affect its graph?

• It compresses the graph horizontally

• It shifts the graph vertically

• It reflects the graph over the Y-axis

• It shifts the graph horizontally

What is the domain of the combined piecewise function graph?

• 0 to Positive Infinity

• Negative Infinity to Positive Infinity

• Only positive integers

• Negative Infinity to 0

What is the range of the combined piecewise function graph?

• Negative Infinity to Positive Infinity

• 0 to Positive Infinity

• Negative Infinity to 0

• Only positive integers