Understanding the Function p(x)

The video tutorial explains how to analyze a piecewise function graph of p(x). It covers finding the value of p(1) by identifying the correct point on the graph, ensuring it passes the vertical line test. The domain is determined by identifying the lowest and highest x values, while the range is found by examining the lowest and highest y values, noting any breaks. The domain is from -5 to 3, and the range is from -3 to -1 (excluding -3) and 0 to 4.

What is the first task mentioned in the video regarding the graph of p(x)?

• To determine the type of function

• To find the domain of p(x)

• To find p(1)

• To find the range of p(x)

What type of function is p(x) described as in the video?

• Linear function

• Quadratic function

• Piecewise function

• Exponential function

At x = 1, which point is included in the function p(x)?

• (1, 2)

• (1, 0)

• (1, -3)

• (1, 1)

Why is the point (1, -3) not included in the function p(x)?

• It is a duplicate point

• It is outside the domain

• It has an open dot

• It is not a valid point

What is the domain of the function p(x) as described in the video?

• (-5, 3)

• (-5, 3]

• [-5, 3)

• [-5, 3]

What is the lowest x value in the domain of p(x)?

• 1

• 0

• -5

• -3

What is the highest x value in the domain of p(x)?

• 4

• 1

• 2

• 3

What is the lowest y value mentioned in the range of p(x)?

• -3

• -4

• -2

• -1

What is the highest y value mentioned in the range of p(x)?

• 5

• 4

• 3

• 2

Why is there a break in the range of p(x) between -1 and 0?

• The function is not continuous

• There is no y value between -1 and 0

• There is an open dot at -1

• The graph is not defined there