Graph piecewise functions exponential and cuberoot

The video tutorial covers the cube root and exponential functions, focusing on graphing techniques and transformations. It explains how to graph the cube root of X with a vertical shift and the exponential function with a reflection. The tutorial also discusses discontinuities, holes, and asymptotes in graphs, emphasizing the behavior of functions at these points.

What happens to the graph of the cube root of X when 2 is added to it?

• It reflects over the Y-axis.

• It shifts down by two units.

• It reflects over the X-axis.

• It shifts up by two units.

How does multiplying by a negative inside the function E to the X affect its graph?

• It shifts the graph up.

• It shifts the graph down.

• It reflects the graph about the Y-axis.

• It reflects the graph about the X-axis.

For which values of X should the transformed E to the X function be graphed?

• For all values of X.

• For all negative values of X.

• For all positive values of X.

• For X equal to zero.

What is a jump discontinuity in a graph?

• A sudden change from one function to another.

• A point where the graph has a hole.

• A point where the graph approaches an asymptote.

• A point where the graph is undefined.

How does a graph behave near an asymptote?

• It approaches the asymptote.

• It moves away from the asymptote.

• It forms a hole.

• It remains constant.