Evaluating and Graphing Piecewise Functions

This video tutorial covers the evaluation and graphing of piecewise functions. It begins with an introduction to piecewise functions, followed by examples of evaluating them. The tutorial then focuses on graphing techniques, including using a calculator for linear and non-linear functions. Advanced graphing techniques, such as handling absolute values and three-piece functions, are also discussed. Finally, the video explains how to write piecewise functions from given graphs.

What is a piecewise function?

• A function that is continuous everywhere

• A function that is split into multiple parts

• A function that has no domain

• A function that is always linear

What is the domain of the top piece of the function if the input is less than -1?

• X is less than -1

• X is greater than or equal to -1

• X is greater than -1

• X is equal to -1

Tags

CCSS.HSF-IF.C.7B

If f(x) = x^2 - 5 for x < -1, what is f(-3)?

• 4

• 14

• 23

• 9

Tags

CCSS.HSF.IF.A.2

What is the output of the function f(x) = 2x + 9 for x = 7?

• 25

• 16

• 23

• 14

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What does an open circle on a graph indicate?

• The function has a maximum at that point

• The function is undefined at that point

• The function is continuous at that point

• The function has a minimum at that point

Tags

CCSS.HSF-IF.C.7B

When graphing piecewise functions, what tool is recommended for accuracy?

• A ruler

• A protractor

• Graph paper

• A compass

Tags

CCSS.HSF-IF.C.7B

What shape does the graph of an absolute value function typically take?

• A V shape

• A parabola

• A straight line

• A circle

Tags

CCSS.HSF-IF.C.7D

What is the slope of the line y = 5?

• 1

• 5

• Undefined

• 0

Tags

CCSS.8.EE.B.5

How do you determine the y-intercept of a line if it doesn't directly hit the y-axis?

• By measuring the slope

• By guessing

• By using a calculator

• By extending the line

What is the domain of the piecewise function if the piece starts at x = -2 and goes to the left?

• X = -2

• X < -2

• X >= -2

• X > -2

Tags

CCSS.HSF-IF.C.7B