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Suppose f is a function which follows this pattern, where x and h are any numbers: f(a + h) = f(a)*f(h) Which type of function i

fomenos

$f$ has to be a <em>power</em> function in order to satisfy the recurrence pattern $f(x + h) = f(x) \cdot f(h)$

<h3>Procedure - Determination of a function with a pattern.</h3>

In this case, we must assume a given function and check such assumption fulfill the given recurrence. Let suppose that $f(x) = a^{x}$ , by algebra we have the following property:

$f(x + h) = a^{x+h} = a^{x}\cdot a^{h}$ (1)

And by the definition given in statement, we have the following conclusion:

$f(x+h) = a^{x}\cdot a^{h} = f(x) \cdot f(h)$ (2)

Therefore, $f$ has to be a <em>power</em> function in order to satisfy the recurrence pattern $f(x + h) = f(x) \cdot f(h)$ . $\blacksquare$

To learn more on power functions, we kindly invite to check this verified question: brainly.com/question/5168688

8 0

3 years ago

the animal shelter has space for 800 animals there were already 468 animals at the shelter after a storm a hundred ninety two mo

Anna007 [38]

Answer:

It is reasonable.

Step-by-step explanation:

If you add 468 (amount of animals already there) and add how ever many more coming (192) then you'll get 680. If you add 100 more that will only be 780 animals.

6 0

4 years ago

Which measures are accurate regarding triangle JKL? Check all that apply.

mixas84 [53]

Answer:

Option (1), (3) and (6) is correct.

m∠K = 84° , k ≈ 3.7 units and KL ≈ 3.2 units.

Step-by-step explanation:

Given : ∠J = 58° , ∠L = 38° and length of side JK = 2.3 units.

We need to check all the options and choose that follows.

First we find the measure of ∠K

Using angle sum property , Sum of angles of a triangle is 180°

⇒ ∠J + ∠k + ∠L = 180°

⇒ 58° + ∠k + 38° = 180°

⇒ ∠k + 96° = 180°

⇒ ∠k = 180° - 96°

⇒ ∠k = 84°

Also using sine rule on ΔJKL , we get,

$\frac{KL}{\sin J}=\frac{JL}{\sin K}=\frac{JK}{\sin L}$

Substitute the values, we get,

$\frac{KL}{\sin 58^{\circ}}=\frac{k}{\sin 84^{\circ}}=\frac{2.3}{\sin 38^{\circ}}$

Consider the last two ratios, we have,

$\frac{k}{\sin 84^{\circ}}=\frac{2.3}{\sin 38^{\circ}}$

${k}=\frac{2.3}{\sin 38^{\circ}}\times {\sin 84^{\circ}}$

On solving we get,

${k}=3.71$

Also, now consider the first and last ratio, we get,

$\frac{KL}{\sin 58^{\circ}}=\frac{2.3}{\sin 38^{\circ}}$

${KL}=\frac{2.3}{\sin 38^{\circ}}\times {\sin 58^{\circ}$

${KL}=3.16$

Thus, k ≈ 3.7 units and KL ≈ 3.2 units.

Option (1), (3) and (6) is correct.

5 0

4 years ago

Read 2 more answers

ryan and daniel are both packing boxes at a factory. ryan can pack three boxes every hour. the number of boxes daniel can pack i

GenaCL600 [577]

Answer:

Daniel: y = 4x

Ryan: 3 boxes per hour

y = total number of boxes

--

h = hours

Ryan is able to pack 3 boxes in one hour. In multiple hours, the problem will be represented by the equation y = 3h.

--

So,

Ryan: y = 3h

Daniel: y = 4h

--

Based on our answers, we can conclude that when h increases, y also increases. Daniel's rate of packing boxes is higher than Ryan's, and therefore he has a greater rate of change, which means Daniel packs boxes faster in the same amount of time than Ryan.

Hope this helped :)

6 0

2 years ago

1a-f please help i would appreciate it.

monitta

Answer:

c is the answer

Step-by-step explanation:

4 0

3 years ago