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Alexxx [7]
3 years ago
12

"Exponential Functions" Please respond to the following: Explain how exponential functions can model both phenomena that grow an

d phenomena that decay. Note the main similarities and differences in the form of the function in each case.
Mathematics
1 answer:
andrew11 [14]3 years ago
7 0

Answer:

Step-by-step explanation:

Exponential functions grow at the fastest rate because the function increase or decrease in a power form.

for example, "2 raised x "means that when ever the power increase the number gets large and the same for decrements.

example: when x=1 it becomes 2

                         x=2                    4

                         x=3                     8

                        .

                        .

                        x=n                   2∧n which a very big number.

In the same case it decreases dramatically if the power is negative or the number is improper fraction with positive number exponent; like (3/4)∧x,2∧-x  when x is positive real number.

The similarities  of both trend is that the change is the same both decrease or increase in similar scenario.

the difference is already known that one goes up with out bound but the one which decays goes down ward both with limitation and in unlimited cases.

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Make an equation

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Isolate the variable

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Know that we know what X is, we know that X + 200 will equal the cost of the second appliance

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3 years ago
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wlad13 [49]

Answer:

yes

Step-by-step explanation:

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2 years ago
Interval does h have a negative average of change
NikAS [45]

The average rate of change over some interval [a, b] is equal to the slope of the secant line from (a, h(a)) to (b, h(b)).

h(t) is a quadratic function, so its graph is a parabola, and in particular it's one that has a minimum of -4 when t = 2.

The secant line over an interval [a, b] will have a negative slope if the distance from a to 2 is larger than the distance from b to 2.

(A) If a = 4 and b = 5, then |a - 2| = 2 and |b - 2| = 3, so the slope and hence average rate of change is positive.

(B) If a = -1 and b = 5, then |a - 2| = 3 and |b - 2| = 3, so this ARoC is zero.

(C) If a = 0 and b = 4, then |a - 2| = 2 and |b - 2| = 2, so this ARoC is also zero.

(D) If a = -1 and b = 4, then |a - 2| = 3 and |b - 2| = 2, so this ARoC is negative.

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Step-by-step explanation:

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