Graphing Piecewise Functions Mastery

The video tutorial explains how to graph a piecewise function by breaking it down into intervals. The instructor demonstrates the process of plotting each interval separately, calculating endpoints, and drawing lines. The tutorial emphasizes understanding the function's behavior over different intervals and highlights the importance of open and closed endpoints.

What type of function is being discussed in the video?

• Piecewise function

• Quadratic function

• Exponential function

• Logarithmic function

What is the equation of the line for the first interval?

• 0.125x + 4.75

• -0.125x - 4.75

• 0.125x - 4.75

• -0.125x + 4.75

What is the y-coordinate when x is -10 in the first interval?

• 5

• 6

• 4.75

• 0.125

Why is there an open circle at x = -2 in the first interval?

• Because the value at x = -2 is zero

• Because the function is not defined at x = -2

• Because the function is continuous at x = -2

• Because the interval does not include x = -2

What is the equation of the line for the second interval?

• -x - 7

• -x + 7

• x - 7

• x + 7

What is the y-coordinate when x is -2 in the second interval?

• 4

• 7

• 6

• 5

What is the y-coordinate when x is -1 in the second interval?

• 4

• 7

• 6

• 5

What is the equation of the line for the third interval?

• 12/11x - 54/11

• -12/11x + 54/11

• 12/11x + 54/11

• -12/11x - 54/11

What is the y-coordinate when x is 10 in the third interval?

• 6

• -6

• 12

• 0

What is the final y-coordinate when x is 10 in the third interval?

• 6

• -6

• 0

• 12