If the cubic function P(x) includes the points (−4, 0), (0, 0), and (2, 0), which of the following represents this function?
1 answer:
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Answer:
Exponential growth functions are:
Exponential decay functions are:
Step-by-step explanation:
Given:
An exponential function is of the form , where,
.
Now, if a > 0 and b > 1, then the exponential function represent exponential growth.
If a > 0 and 0 < b < 1, then the exponential function represent exponential decay.
Let us check each function now.
Option 1:
Here,
As 1.08 > 1, the function is exponential growth.
Option 2:
Here,
As 0.5 < 1, the function is exponential decay.
Option 3:
Here,
As 0.8 < 1, the function is exponential decay.
Option 4:
Here,
As 3 > 1, the function is exponential growth.
Option 5:
Here,
As 1.07 > 1, the function is exponential growth.
Option 6:
Here,
As 0.93 < 1, the function is exponential decay.