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3 years ago

Does anyone know this??

Mathematics

1 answer:

Sergio [31]3 years ago

4 0

Answer:

see below (I hope this helps!)

Step-by-step explanation:

The range is simply all the y values of a function. Remember, a closed dot signifies ≤ or ≥ whereas an open dot signifies < or >. We see that the minimum y value is -11, and since it has a closed dot, we can write y ≥ -11. From the graph, the maximum y value is 11 and since it has an open dot, we can write y < 11, therefore, the final answer is -11 ≤ y < 11.

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Answer:

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3 years ago

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Usimov [2.4K]

Answer:

Vertical asymptote: $x = -2$

Horizontal asymptote: $y = 0$ or x axis.

Step-by-step explanation:

The rational function is given as:

$y=\frac{1}{(x+2)^3}$

Vertical asymptotes are those values of $x$ for which the function is undefined or the graph moves towards infinity.

For a rational function, the vertical asymptotes can be determined by equating the denominator equal to zero and finding the values of $x$ .

Here, the denominator is $(x+2)^3$

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$(x+2)^3=0\\(x+2)=0\\x=-2$

Therefore, the vertical asymptote occur at $x=-2$ .

Horizontal asymptotes are the horizontal lines when $x$ tends towards infinity.

For a rational function, if the degree of numerator is less than that of the denominator, then the horizontal asymptote is given as $y=0$ .

Here, there is no $x$ term in the numerator. So, degree is 0. The degree of the denominator is 3. So, the degree of numerator is less than that of denominator.

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3 years ago

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expeople1 [14]

Answer:

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Step-by-step explanation:

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Divide both sides by 8 to get;

6400/8 = (2^(4x))

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Log 800 = 4xLog 2

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Step-by-step explanation:

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