Given a piecewise function evaluate the limits

The video tutorial explains how to graph two functions: the negative absolute value of X and X^2 + 1. It discusses how to reflect the absolute value function and shift the quadratic function. The tutorial also covers how to handle these functions as piecewise functions, focusing on specific domains. Finally, it explores the concept of limits as X approaches zero from both the left and right, emphasizing the importance of graphing each function separately.

What is the shape of the graph for the absolute value function?

• A V shape

• A straight line

• A parabola

• A circle

What happens to the graph of the absolute value function when it is multiplied by a negative?

• It shifts to the right

• It reflects downwards

• It becomes a horizontal line

• It shifts to the left

How is the quadratic function X^2 + 1 different from the basic quadratic function X^2?

• It is stretched vertically

• It is reflected over the Y-axis

• It is shifted down by one unit

• It is shifted up by one unit

For which values of X is the quadratic function X^2 + 1 considered in this piecewise function?

• All values of X

• X greater than 0

• X less than 0

• X equal to 0

What is the limit of the piecewise function as X approaches zero from both the left and the right?

• The limit is 1

• The limit is 0

• The limit does not exist

• The limit is infinite