How to Graph a Piecewise Function With Three Equations

The video tutorial covers graphing inequalities with three different equations, focusing on domain and range restrictions. It begins with an introduction to the topic, followed by step-by-step graphing of each equation, including handling open and closed intervals. The tutorial concludes with an analysis of the domain and range, highlighting jump discontinuities and voids in the range.

What is the range of x-values for which the compound inequality is defined?

• x <= -1 and x > 2

• x >= -1 and x < 2

• x < -1 and x >= 2

• x > -1 and x <= 2

When graphing the first equation, what type of dot is used to represent x-values less than or equal to -1?

• Solid dot

• Dashed line

• Arrow

• Open circle

For the second equation, what is the correct representation for x-values greater than -1 but less than or equal to 2?

• Dashed line between -1 and 2

• Solid dot at -1 and open circle at 2

• Open circle at -1 and solid dot at 2

• Solid line between -1 and 2

How is the exponential function E to the X shifted in the graph?

• 1 unit down

• 2 units to the left

• 1 unit up

• 2 units to the right

What is the range of the combined graph?

• Negative Infinity to 1, and 2 to Infinity

• Negative Infinity to 2, and 3 to Infinity

• 0 to 1, and 2 to Infinity

• Negative Infinity to 0, and 1 to Infinity