Understanding Piecewise Functions

This video tutorial explains how to graph a piecewise defined function with two linear function rules. It covers the process of graphing each function rule separately, considering the domain restrictions, and combining them to form the complete piecewise function graph. The tutorial emphasizes understanding the slope-intercept form and how to apply it to graph linear functions within specified intervals.

What is a piecewise function?

• A function with a single rule

• A function defined by multiple rules over different intervals

• A function that is always linear

• A function with no restrictions on its domain

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CCSS.HSF.LE.A.2

CCSS.8.F.B.4

What is the general form of a linear function?

• f(x) = a/x + b

• f(x) = x^3 + c

• f(x) = mx + b

• f(x) = ax^2 + bx + c

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CCSS.8.EE.B.5

What is the slope of the first function rule?

• 1

• 3

• 2

• -1

What is the y-intercept of the first function rule?

• 0

• 1

• 3

• -1

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CCSS.HSF-IF.C.7B

When graphing the first function, what type of point is used at x = 1?

• No point

• Open point

• Closed point

• Double point

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CCSS.HSF-IF.C.7B

Which part of the graph corresponds to the first function rule?

• The entire line

• The part where x > 1

• The part where x = 1

• The part where x < 1

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CCSS.8.EE.B.5

What is the slope of the second function rule?

• 1

• -1

• 0

• 4

What is the y-intercept of the second function rule?

• -1

• 1

• 0

• 4

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CCSS.HSF-IF.C.7B

When graphing the second function, what type of point is used at x = 1?

• Open point

• No point

• Closed point

• Double point

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CCSS.HSF-IF.C.7B

Which part of the graph corresponds to the second function rule?

• The entire line

• The part where x < 1

• The part where x = 0

• The part where x >= 1

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CCSS.HSF-IF.C.7B