Evaluting the left and right hand limit by understanding the parent graph

The video tutorial explains the transformation of the function 1/(X+4), focusing on graph shifting and discontinuity at X = -4. It evaluates the discontinuity and discusses the behavior of limits as they approach infinity. The tutorial concludes with a preview of solving the problem algebraically.

What happens to the graph of a function when a constant is added inside the function?

• It shifts downwards.

• It shifts to the left.

• It shifts to the right.

• It shifts upwards.

At which point does the function have a discontinuity after the transformation?

• At x = 4

• At x = 0

• At x = -4

• At x = 2

Why does the function not exist at the point of discontinuity?

• The left and right limits do not match.

• The graph is linear.

• The function is continuous.

• The graph is undefined.

What is the behavior of the graph as it approaches the discontinuity from the left?

• It approaches negative infinity.

• It oscillates.

• It remains constant.

• It approaches positive infinity.

What does the graph do as it approaches the discontinuity from the right?

• It approaches positive infinity.

• It remains constant.

• It approaches negative infinity.

• It oscillates.