SOLUTION: How do you determine if a function has growth or decay...
a) when looking at a graph?
b)when looking at an equation y=a(b)^t?
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Question 1090792: How do you determine if a function has growth or decay...
a) when looking at a graph?
b)when looking at an equation y=a(b)^t?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a) Pick two points on the curve. Draw a straight line through these two points. If the line has a positive slope, then you have a growth function. If the line has a negative slope, then you have a decay function.
Visually, a growth function will move upwards as you move from left to right.
In contrast, a decay function will move downwards as you move from left to right.
The graph in blue represents a growth function. The green graph is a decay function.
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b) If , then the function decays. If , then you have a growth function.
For instance, is a decay function (since b = 0.3 is between 0 and 1). As x gets bigger, y gets smaller.
Another example: is a growth function (b = 8 makes b > 1 true). As x gets bigger, y gets larger as well.
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