Understanding Exponential Function Behavior

The video tutorial explains how to determine if a function represents growth, decay, or neither by analyzing the exponential function formula y = a * B^X. The B value is crucial: if greater than one, it indicates growth; if between zero and one, it indicates decay. Negative A values result in neither growth nor decay. The tutorial also covers how negative multipliers affect the interpretation of growth and decay, providing examples to illustrate these concepts.

What is the key factor in determining if an exponential function represents growth, decay, or neither?

• The value of B

• The value of Y

• The value of A

• The value of X

If B is greater than 1 in an exponential function, what does it indicate?

• Growth

• Decay

• Neither growth nor decay

• Constant

How does the graph of an exponential function behave when B is greater than 1?

• Y values increase as X values increase

• Y values remain constant

• Y values decrease as X values increase

• Y values fluctuate randomly

What does a B value between 0 and 1 indicate in an exponential function?

• Constant

• Neither growth nor decay

• Decay

• Growth

How does the graph of an exponential function behave when B is between 0 and 1?

• Y values increase as X values increase

• Y values decrease as X values increase

• Y values remain constant

• Y values fluctuate randomly

What happens when the A value is negative in an exponential function?

• It represents neither growth nor decay

• It represents growth

• It represents constant

• It represents decay

In the problem analysis, what does a B value of 3 indicate?

• Neither growth nor decay

• Decay

• Constant

• Growth

In the problem analysis, what does a B value of 2/5 indicate?

• Decay

• Neither growth nor decay

• Growth

• Constant

What is the effect of a negative multiplier in front of the X in an exponential function?

• It confirms the initial conclusion

• It has no effect

• It makes the function constant

• It reverses the initial conclusion

In the example with a negative multiplier, what does a B value of 4 indicate?

• Constant

• Growth

• Decay

• Neither growth nor decay