Graphing Piecewise Functions with Tables

Miss Burk introduces a video tutorial focusing on graphing piecewise functions, a topic students often struggle with. The video begins with a review of graphing inequalities, explaining concepts like open and closed circles. It then transitions to graphing piecewise functions using tables, emphasizing the importance of identifying function breakpoints. The tutorial covers both simple and complex piecewise functions, providing step-by-step guidance on plotting them accurately. The video aims to prepare students for the upcoming school year by reinforcing these foundational graphing skills.

What type of circle is used to represent the inequality x ≤ 3?

• Solid circle

• Closed circle

• Open circle

• Dashed circle

Tags

CCSS.6.EE.B.8

For the inequality x > -4, why is an open circle used at -4?

• Because -4 is a boundary

• Because -4 is included

• Because -4 is a midpoint

• Because -4 is not included

In a compound inequality, what does the notation -2 < x ≤ 5 mean?

• x is less than or equal to -2 and greater than 5

• x is less than -2 and greater than 5

• x is greater than -2 and less than 5

• x is greater than -2 and less than or equal to 5

Tags

CCSS.HSF-IF.C.7B

When graphing the piecewise function 3x + 8 for x < -2, what is the y-value when x = -3?

• 0

• 1

• 2

• -1

Tags

CCSS.HSF-IF.C.7A

What shape does the graph of x^2 + 4 take?

• Line

• Parabola

• Hyperbola

• Circle

Tags

CCSS.HSF.IF.A.2

For the function x^2 + 4, what is the y-value when x = 0?

• 2

• 8

• 0

• 4

Tags

CCSS.HSF-IF.C.7B

In the more complex piecewise function, what is the boundary point for the first piece?

• -2

• -1

• 0

• 2

Tags

CCSS.HSF.IF.A.2

For the piecewise function with three pieces, what is the y-value when x = -1 for the second piece?

• 1

• 2

• 0

• 3

Tags

CCSS.HSF-IF.C.7B

What is the slope of the first piece of the more complex piecewise function?

• 4

• 1

• 2

• 3

Tags

CCSS.HSF.IF.A.2

What is the y-value when x = 3 for the third piece of the more complex piecewise function?

• 0

• 2

• 1

• -1

Tags

CCSS.HSF.IF.A.2