Understanding Piecewise Functions

The video tutorial explains how to graph a piecewise function with three linear segments. It covers the process of plotting each segment based on given intervals and calculating specific function values at certain points. The tutorial emphasizes understanding slopes, intervals, and graphing techniques for linear functions.

What is a key characteristic of each piece in the piecewise function discussed?

• Each piece is quadratic.

• Each piece is exponential.

• Each piece is linear.

• Each piece is constant.

For the function Y = -23X + 4, what is the slope?

• 2/3

• -2/3

• -23

• 23

When graphing Y = -23X + 4, why is X = -6 chosen as a point?

• It is a prime number.

• It is a multiple of 3.

• It is a positive number.

• It is a perfect square.

What type of line is represented by the function Y = -4?

• Vertical line

• Diagonal line

• Horizontal line

• Curved line

Why is there an open point at X = -6 for the function Y = -4?

• X = -6 is not in the interval.

• X = -6 is a maximum point.

• X = -6 is a turning point.

• X = -6 is a boundary point.

For the function Y = 2X - 3, what is the slope?

• 1

• 3

• -2

• 2

What is the Y-value for the point (3, 3) on the line Y = 2X - 3?

• 0

• 3

• 6

• 9

Which function rule is used to find F(0)?

• Y = -23X + 4

• Y = X + 3

• Y = 2X - 3

• Y = -4

What is the value of F(3)?

• -4

• 0

• 3

• 9

What is the value of F(6) using the function Y = 2X - 3?

• 6

• 3

• 9

• 12