Understanding Piecewise Functions

The video tutorial explains how to graph a piecewise defined function. It first covers graphing f(x) = 4 for x less than -1, which is a horizontal line with an open point at (-1, 4). Next, it explains graphing f(x) = -x + 2 for x greater than or equal to -1, a line with a slope of -1 and a closed point at (-1, 3). The tutorial emphasizes the importance of correctly placing open and closed points based on the function's domain.

What type of line is represented by the function f(x) = 4 for x < -1?

• A horizontal line

• A vertical line

• A curved line

• A diagonal line

Where should the open point be placed when graphing f(x) = 4 for x < -1?

• At (-1, 0)

• At (0, 4)

• At (-1, 4)

• At (4, -1)

What is the slope of the line for the function f(x) = -x + 2?

• 0

• 2

• -1

• 1

What is the y-intercept of the function f(x) = -x + 2?

• 2

• -1

• 0

• 1

How should the point at x = -1 be marked when graphing f(x) = -x + 2?

• With a dashed line

• With an open point

• With a closed point

• With a circle

What is the direction of the line for f(x) = -x + 2 when graphed?

• Downwards to the left

• Upwards to the right

• Downwards to the right

• Upwards to the left