Graphing exponential functions

The video tutorial explains how to graph an exponential function, starting with the base function and then applying transformations. It covers the concept of Y intercepts, creating a table of values, and plotting the graph. The tutorial also discusses shifting the graph and how this affects the domain, range, and asymptotes. The final graph is plotted with the new coordinates, demonstrating the transformation effects.

What happens to the graph of an exponential function when a constant is added outside the function?

• It shifts horizontally.

• It shifts vertically.

• It compresses vertically.

• It stretches horizontally.

When graphing y = a * b^x, how does the coefficient 'a' affect the Y-intercept?

• It shifts the Y-intercept to the right.

• It does not affect the Y-intercept.

• It alters the Y-intercept value.

• It reflects the graph over the X-axis.

What is the Y-intercept of the function y = 1/2 * 4^x?

• 4

• 2

• 1/2

• 1

How does shifting a graph up by two units affect its asymptote?

• The asymptote shifts down by two units.

• The asymptote shifts up by two units.

• The asymptote remains unchanged.

• The asymptote shifts left by two units.

What is the range of the transformed function after shifting up two units?

• From -Infinity to Infinity

• From 2 to Infinity

• From 0 to Infinity

• From -2 to Infinity