F(x)=2 to the power of x +3 what is the value of f(-2)
1 answer:
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Answer:
a) decay
b) 2,950,000
c) 0.025
d)
e) 2,409,123
Step-by-step explanation:
<u>Part (a)</u>
Exponential DECAY, since the population was decreasing annually.
<u>Part (b)</u>
Initial amount = 2,950,000 people (in the year 2000)
<u>Part (c)</u>
Decay factor = 2.5% = 0.025 (in decimal form)
<u>Part (d)</u>
General form of exponential decay function:
where:
- a = initial amount
- r = rate of decay (in decimal form)
- x = time (in years)
Given:
- a = 2950000
- r = 0.025
<u>Part (e)</u>
To determine the city's population in 2008:
Answer:
A. (-∞ , 0)
B. x = 0 triple root
C. The function tends to infinity
Step-by-step explanation:
For the function f(x) = x^3 we have:
Negative intervals:
(-∞ , 0)
The roots of this function is:
x = 0
The final behavior of this function tends toward infinity
A graphic is attached below
