Exponential Functions and Decay Concepts

The video tutorial explains how to sketch graphs of exponential equations, focusing on both growth and decay. It covers finding the Y-intercept, understanding the behavior of exponential functions as X changes, and comparing the characteristics of growth and decay graphs. The tutorial emphasizes the importance of identifying key points to accurately sketch these graphs.

What is the Y-intercept of the graph for the equation Y = 2 * 2^X?

• 2

• 1

• 0

• 4

How does the graph of Y = 2 * 2^X behave as X becomes very negative?

• It remains constant

• It approaches zero but never crosses it

• It oscillates

• It becomes negative

What is the value of Y when X equals 2 for the equation Y = 2 * 2^X?

• 10

• 4

• 8

• 6

What is the decay factor in the new exponential equation discussed?

• 1/4

• 1/8

• 1/12

• 1/2

How does the graph behave as X becomes more positive in the decay function?

• It remains constant

• It oscillates

• It rises

• It falls

What is the initial value of the decay function when X equals 0?

• 12

• 6

• 3

• 1

What is the value of Y when X equals 2 in the decay function?

• 1

• 2

• 2.5

• 1.5

Which direction does the graph slope in an exponential decay function?

• Vertical

• Upward

• Downward

• Horizontal

What is a key characteristic of exponential growth graphs?

• They remain constant

• They slope upward

• They oscillate

• They slope downward

What should you identify when graphing exponential functions?

• The midpoint

• The initial value and another point

• The endpoint

• The slope