Graph a Piecewise Function With Three Equations

The video tutorial covers graphing four different types of graphs, including quadratic, linear, and logarithmic graphs, with a focus on transformations and domain restrictions. The instructor explains how to graph each equation separately, apply domain restrictions, and analyze the domain and range of the combined graphs. Key concepts such as shifting, slope, and asymptotes are discussed, along with the importance of understanding domain and range in graphing.

What transformation is applied to the quadratic function X + 1 ^2?

• Shift 1 unit to the right

• Shift 1 unit to the left

• Shift 2 units up

• Shift 2 units down

For the quadratic function, which part of the graph is erased based on the domain restriction?

• Values equal to zero

• Values less than zero

• Values less than or equal to zero

• Values greater than zero

What is the slope of the linear function -2X?

• -2

• 1

• -1

• 2

What is the domain restriction for the linear function -2X?

• X is less than 2

• X is greater than 2

• X is between 0 and 2

• X is less than 0

How is the logarithmic function transformed?

• Shifted 2 units down

• Shifted 2 units up

• Shifted 1 unit to the right

• Shifted 1 unit to the left

What is the domain of the combined graph?

• From -4 to 4

• From negative infinity to infinity

• From 2 to infinity

• From 0 to 2

What is the range of the combined graph?

• From -2 to 2

• From -4 to 0

• From 0 to infinity

• From -4 to infinity