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2 years ago

BUILDING ON THE ESSENTIAL QUESTION .How are negative exponents and positive exponents related?

1 answer:

5 0

Zero-Exponent Rule: a0 = 1, this says that anything raised to the zero power is 1. ... Negative Exponent Rule: , this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.

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Answer:

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Step-by-step explanation:

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Matthew sorts some figures. He includes a regular hexagon with only figures 2 and 3.

kykrilka [37]

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2 years ago

Find Horizontal and Vertical Asymptotes for y=(1)/((x+2)^3)

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 $(x+2)^3$

Setting the denominator equal to zero, we get

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

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.

Therefore, the horizontal asymptote is at $y=0$ or x axis.

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3 years ago

What is the maximum number of turns in the graph of f(x) = 2x² – 2r²+71-25,

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Answer:

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Step-by-step explanation:

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