Exploring Piecewise Functions

The video tutorial covers the basics of piecewise functions, including graphing different pieces, writing functions in notation, determining domains, and evaluating function values. It provides step-by-step instructions for graphing linear and horizontal pieces, creating piecewise functions from graphs, and finding function values for specific x-values. The tutorial concludes with a final example and closing remarks.

What is the y-intercept of the first piece of the piecewise function?

• 4

• 0

• 2

• 6

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

• 1

• -1

• 2

• -2

For the second piece of the piecewise function, what is the y-intercept?

• 0

• 2

• -1

• 1

What is the slope of the second piece of the piecewise function?

• 1

• 1/2

• 3/2

• 2/3

What is the value of f(0) for the given piecewise function?

• 6

• 8

• 4

• 2

What is the value of f(7) for the given piecewise function?

• 6

• 2

• 0

• 4

What is the equation of the first piece of the piecewise function in function notation?

• 2x - 6

• -x + 4

• x + 4

• 2x + 6

What is the domain of the second piece of the piecewise function?

• x < -2

• -2 ≤ x < 2

• x ≥ 2

• x > 2

What is the value of f(-4) for the given piecewise function?

• -2

• -3

• -4

• -5

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

• -5

• -1

• -3

• -7