Evaluating Piecewise Functions in Algebra

The video tutorial explains how to evaluate piecewise functions by understanding domain restrictions. It covers the evaluation of specific function values such as f(-1), f(5), and f(3), and demonstrates how these values can be represented graphically. The tutorial also includes a section on evaluating another piecewise function, v, for values like v(-5) and v(8), and simplifies expressions involving these evaluations.

What is a key aspect to understand when working with piecewise functions?

• The function's intercepts

• The function's range

• The function's domain restrictions

• The function's symmetry

Which domain restriction does -1 satisfy in the given piecewise function?

• x >= 3

• x = 3

• x < 3

• x > 3

What is the value of f(-1) for the given piecewise function?

• -2

• 2

• 0

• 1

Which domain restriction does 5 satisfy in the given piecewise function?

• x <= 3

• x > 3

• x = 3

• x < 3

What is the value of f(5) for the given piecewise function?

• 17/3

• 5

• 4

• 2

What is the value of f(3) for the given piecewise function?

• 3

• 6

• 5

• 4

What is the graphical representation of f(-1) on the graph?

• (-1, 0)

• (-1, 2)

• (-1, -2)

• (-1, 1)

What is the value of v(-5) for the given piecewise function?

• 125

• 150

• 175

• 200

What is the value of v(8) for the given piecewise function?

• 6.0

• 5.0

• 4.5

• 5.5

What is the result of the expression v(-5) - 3 * v(8)?

• 133.5

• 143.5

• 153.5

• 163.5