Given the exponential function A(x) = P(1 + r)x, what value for r will make the function a decay function?
1 answer:
ANSWER
Any value of r in between -1 and 0 (exclusive on both sides).
For example, r = -0.1 or r = -0.5
EXPLANATION
You did not specify any answer choices; all we can do is state a range of values for r.
We have exponential function
We note that the base is "1 + r"
For an exponential function to be a decay function, the base must be between 0 and 1 exclusive.
Therefore, the values for r must lie in the range -1 < r < 0 (between -1 and 0 exclusive)
In interval notation, this is expressed as (-1, 0)
Any value of r in between -1 and 0 (exclusive on both sides).
For example, r = -0.1 or r = -0.5
EXPLANATION
You did not specify any answer choices; all we can do is state a range of values for r.
We have exponential function
We note that the base is "1 + r"
For an exponential function to be a decay function, the base must be between 0 and 1 exclusive.
Therefore, the values for r must lie in the range -1 < r < 0 (between -1 and 0 exclusive)
In interval notation, this is expressed as (-1, 0)
You might be interested in
The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order is 0.2917.
<h3>What is Probability?</h3>Probability helps us to know the chances of an event occurring.
A.) The probability that she will NOT randomly take out two oranges in a row,
Probability = 1 - (5/12)² = 0.8264
B.) The probability that she will NOT randomly take out two grapefruits in a row,
Probability = 1 - (4/12)² = 0.8264 = 0.8889
C.) The probability that she will NOT randomly take out two apples in a row,
Probability = 1 - (3/12)² = 0.8264 = 0.9375
D.) The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order,
Probability = (7/12) × (9/12) × (8/12) = 0.2917
Learn more about Probability:
#SPJ1