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Viefleur [7K]
4 years ago
5

Which properties are present in a table that represents a logarithmic function in the form y=log8^(x) when b>1 I. The y-value

s are always increasing or always decreasing. II. The point (0, 1) exists in the table. III. The y-values will decrease rapidly as the x-values approach zero. IV. There will only be one x-value in the table with a y-value of zero. I only I and II only I, III, and IV II and III only
Mathematics
2 answers:
IRINA_888 [86]4 years ago
6 0

Answer: its C:I, III, and IV just took the test.

Step-by-step explanation:

miss Akunina [59]4 years ago
6 0

Answer:

I, III, and IV

Step-by-step explanation:

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Answer:

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Interval = \{x:x=1\}

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

x + \frac{1}{x}

Hence, the objective function is:

S(x) = x + \frac{1}{x}

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

S'(x) = 1 - \frac{1}{x^2}

Equate S'(x) to 0 in order to solve for x

0 = 1 - \frac{1}{x^2}

Subtract 1 from both sides

0 -1 = 1 -1 - \frac{1}{x^2}

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Multiply both sides by -1

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Cross Multiply

x^2 * 1 = 1

x^2  = 1

Take positive square root of both sides because x is positive

\sqrt{x^2} = \sqrt{1

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Representing x using interval notation, we have

Interval = \{x:x=1\}

To get the smallest sum, we substitute 1 for x in S(x) = x + \frac{1}{x}

S(1) = 1 + \frac{1}{1}

S(1) = 1 + 1

S(1) = 2

<em>Hence, the smallest sum is 2</em>

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