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Vlada [557]
2 years ago
11

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

s f?
Mathematics
1 answer:
fomenos2 years ago
8 0

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

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A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, i
attashe74 [19]

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

<h3>What time does the ball take to reach maximum height?</h3>

The height of the ball as a function of time is modelled by a <em>quadratic</em> equation, the required information can be found by transforming the expression into <em>vertex</em> form:

h = - 4.9 · t² + 20 · t + 12

h = - 4.9 · (t² - 4.082 · t - 2.449)

h + (- 4.9) · (6.615) = - 4.9 · (t² - 4.082 · t + 4.166)

h - 32.414 = - 4.9 · (t - 2.041)²

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

To learn more on quadratic equations: brainly.com/question/1863222

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5 0
1 year ago
What is 12.38 expanded in form
Lana71 [14]
12.38 in expanded form is write like:-

10 + 2 + .3 + .08 = 12.38

To write a number in expanded form just means to write the number in a layout and when you add it up it will become the number you needed to write in expanded form. 

So, 12.38 written in expanded form is:- 10 + 2 + .3 + 0.8

Hope i helped
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3 years ago
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Answer:

A

Step-by-step explanation:

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Step-by-step explanation:

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