Mathematics, 29.01.2020 10:06 amandabarriksofficia

The ordered pairs (1, 6), (2, 36), (3, 216), (4, 1296), and (5, 7776) represent a function. what is a rule that represents this function?

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From what I gathered the x-values are going up by plus 1(+1) and the y-value are going up by times 6(×6). Now that you have this find the formula/rule.
The ordered pairs (1, 6), (2, 36), (3, 216), (4, 1296), and (5, 7776) represent a function. what is

The ordered pairs (1, 6), (2, 36), (3, 216), (4, 1296), and (5, 7776) represent a function. what is

Answer from: alex7881

The rule is $\\ f(x) = 6^{x}$

Step-by-step explanation:

The resulting values are powers of 6:

$\\ 6^{1} = 1$

$\\ 6^{2} = 36$

$\\ 6^{3} = 216$

$\\ 6^{4} = 1296$

$\\ 6^{5} = 7776$

One factor that is not defined in the question is whether the domain (the set of values for which a function is defined [WolframAlpha, 2019]) of the function $\\ f(x) = 6^{x}$ is only for x = {1, 2, 3, 4, 5} or defined for all possible values this function can take, that is, x = (-∞;∞) or all real numbers.

As you can see from the graph attached:

Theoretically, this function could take all values for x = (-∞;∞). If this were the case, the function is a continuous line with resulting values (that is, the range of the function) for f(x)>0 (0;∞). The graph below shows only positive values (x > 0) and values for x ≤ 5.For values x = {1, 2, 3, 4, 5}, the function is discrete (not a continuous line) and only defined for these values. In this case, the function would be represented only by the points in the graph, and the values it could take would be only f(x) = {6, 36, 216, 1296, 7776}, which would represent the range for this function.

In the last case, we have to redefine the function as:

$\\ f(x) = 6^{x}$ for $x = \{1, 2, 3, 4, 5\}$ .

Answer from: Quest

option a is correct.

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

Which is the scale factor proportion for the reduction shown? answers are on picture.

Answer from: Quest

10.4 inches

step-by-step explanation:

2x2x2.6

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