How to graph exponential functions

This video tutorial explains how to graph exponential functions, focusing on growth and decay graphs. It covers the basic form of exponential graphs, the significance of the value of b, and how to use tables of values for graphing. The tutorial also discusses transformations such as dilation, reflection, and shifts, and how to apply these to parent graphs to achieve the final graph. The video provides a comprehensive guide to understanding and graphing exponential functions with examples.

What determines whether an exponential graph represents growth or decay?

• The slope of the tangent at x=0

• The value of the exponent x

• The value of the base b

• The y-intercept of the graph

In a growth graph, what is the y-intercept?

• (1, b)

• (1, 0)

• (0, 1)

• (0, 0)

What is the range of an exponential growth function?

• (-∞, ∞)

• (0, ∞)

• (-∞, 0)

• (1, ∞)

How does a decay graph differ from a growth graph?

• It has a different y-intercept

• It has a different domain

• It has a different asymptote

• It decreases from left to right

What is the best method to graph an exponential function?

• Using a graphing calculator

• Using a table of values

• Drawing freehand

• Plotting random points

What does the parameter 'a' represent in the transformation of exponential functions?

• Vertical shift

• Dilation and reflection

• Asymptote adjustment

• Horizontal shift

What effect does a negative 'x' have in an exponential function?

• It reflects the graph over the y-axis

• It stretches the graph

• It compresses the graph

• It shifts the graph upwards