Evaluating Piecewise Functions on Delta Math

What is the first step in evaluating piecewise functions?

• Graphing the function

• Determining which section the value falls into

• Finding the derivative

• Solving for x

Which section does the value 8 fall into for the given piecewise function?

• x = 3

• x ≤ 3

• x > 3

• x < 3

What is the value of f(8) in the given piecewise function?

• 3

• -3

• 8

• 0

In the second example, which section does the value 2 fall into?

• x < -2

• x = 2

• x > -2 and x < 2

• x ≥ 2

Why is the second example tricky when determining the section for the value 2?

• Because 2 is greater than 2

• Because 2 appears in both the second and third sections

• Because 2 is not in any section

• Because 2 is less than -2

What is the value of f(2) in the second example?

• -4

• -2

• 4

• 2

What is the final answer for f(2) in the second example?

• -2

• 4

• -4

• 2

What is the key difference between the second and third sections in the second example?

• The second section is for x ≤ 2, and the third section is for x > 2

• The second section is for x = 2, and the third section is for x > 2

• The second section is for x > 2, and the third section is for x ≤ 2

• The second section is for x < 2, and the third section is for x ≥ 2

What should you remember to do in order to successfully master the set of problems?

• Make a graph for each function

• Watch the video twice

• Solve all problems in one sitting

• Get five correct answers

What is the purpose of the video tutorial?

• To teach how to graph functions

• To explain the concept of piecewise functions

• To evaluate piecewise functions

• To solve quadratic equations