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quester [9]
3 years ago
6

Given the equation y=a(b)^x+c explain what a, b, and c represent. how are they used when graphing the function

Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer:

  • a: initial value above c
  • b: growth/decay factor
  • c: horizontal asymptote

Step-by-step explanation:

The value c represents the horizontal asymptote.

The value "a" is the amount above the horizontal asymptote at x=0.

__

The value b is the growth factor, the amount that the difference from c is multiplied by when x increases by 1.

If b > 1, the function is a <em>growth</em> function and will increase in magnitude to the right.

If b < 1, the function is a <em>decay</em> function and will approach the horizontal asymptote to the right.

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a. Determine whether the Mean Value Theorem applies to the function f (x )equals ln 15 xf(x)=ln15x on the given interval [1 comm
ivolga24 [154]

Answer:

(a)

The function f is continuous at [1,e] and differentiable at (1,e), therefore

the mean value theorem applies to the function.

(b)

c = e-1 \\ = 1.71828

Step-by-step explanation:

(a)

The function f is continuous at [1,e] and differentiable at (1,e), therefore

the mean value theorem applies to the function.

(b)

You are looking for a point c   such that

\frac{1}{c} = \frac{\ln(15e)-\ln(15*1)}{e-1} = \frac{\ln(15e/15)}{e-1} = \frac{\ln(e)}{e-1} = \frac{1}{e-1}

You have to solve for c  and get that

c = e-1 \\ = 1.71828

5 0
3 years ago
The sum of two consecutive odd integers is 244.what is the smaller integer?
abruzzese [7]
The question gives us that the sum of two consecutive odd integeres is 244, and we are asked to find the value of the smaller integer. Well, we can first assign the variable x to the smaller integer, and the variable y to the larger odd integer. 

x = smaller odd integer
y = larger odd integer

The question says that the sum of two <u>consecutive</u> odd integers is 244. This means that if x is an odd integer, the next odd integer can be expressed as x + 2. This means that the value of y is x + 2. Next, we can create an equation modeling the problem.
x + y = 244
x + (x + 2) = 244
x + x + 2 = 244
2x + 2 = 244
2x = 242
x = 121
Therefore, the value of the smaller integer is 121, and the value of the larger integer is 121 + 2 = 123. Hope this helped and have a phenomenal day!
4 0
3 years ago
8 miles is approximately 6 kilometers. How many kilometers is equal to 40 miles?
Naddik [55]

Answer:

30 kilometers

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Do the ratios 12/6 and 2/1 form a proportion?
xxMikexx [17]
Yes they do because 12/6 go into 2/1
6 0
4 years ago
You have used 3 GB of data already this month, and every time you stream your favorite Netflix show you use up another 2 GB of d
Andreyy89

Answer:

B(x) = 2x + 3

Step-by-step explanation:

Given:

Amount used = 3 GB   (constant term)

Additional amount for each stream = 2 GB  (slope)

Total bandwidth used for x streams

B(x) = 2x + 3

7 0
3 years ago
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