The given table is an example of constant exponential decay.
It is given that
X Y
-4 16
-1 2
2 0.25
4 0.0625
5 0.03125
<h3>What is an exponential function?</h3>
An exponential function is a relation of the form y = a^x, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.
The y-value at -4 is 16 while the y-value at -1 is 2, a decrement of 1/8 times for an increment in x-value by 3
Again, the y-value at 2 is 0.25 while the y-value at 5 is 0.03125, a decrement of 1/8 times for an increment in x-value by 3.
In both cases, the rate of decrement is constant.
So we can say that this is an example of constant exponential decay.
We can also see this behavior from the attached graph.
Therefore, the given table is an example of constant exponential decay.
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Step-by-step explanation:
a.
Let's give the starting amount of water as s. Every minute, 2 inches of water are lost, meaning that given the starting amount, s, we subtract 2 inches from s every minute, so s - 2 every minute = height of water left, so s - 2t (t representing minutes) = h
To figure out s, we simply plug our known value -- 9 minutes in and 11 inches left. s - 2(9) = 11, s-18=11, s= 29
29 - 2t = h
b. We know that we cannot have negative minutes, so the minimum amount of time that makes sense is 0. To figure out the maximum, we stop counting how much time has occurred when there is no water left, so we have to figure out when h = 0
29-2t = h = 0
t=14.5
Therefore, anything between 0 and 14.5 minutes makes sense
c. Anything between 0 and 29 makes sense because the height of water cannot be negative and we cannot get higher than the starting amount
Answer: 2
<u>Step-by-step explanation:</u>
You only need to evaluate at the limit point.
f(x) = 4 - x ; x ≠ 2
Consider the solution if x = 2 (because the limit is x → 2)
f(2) = 4 - (2)
= 2
We know that f(x) = 0 ; x = 2
f(2) = 0
but we are looking for the y- value it approaches - not the y-value it is.
Look at the graph. You will see that as x gets closer and closer to 2, the y-value gets closer and closer to 2. This is the limit.
Answer:A= -1
B=-9
C=9
D=3
E=3
F=2
G=1.5
On edge
Step-by-step explanation:
