3 years ago

Which graph represents the solution set of y = x2 − 4 and x + y + 2 = 0?

Mathematics

1 answer:

statuscvo [17]3 years ago

8 0

Answer:

Graph of solutions of:

y = x^2 -4 (red)

x + y + 2 = 0 (purple)

Step-by-step explanation:

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Option B : $y=-\frac{1}{2}$ is the horizontal asymptote.

Explanation:

The function is $y=\frac{-4 x^{6}+6 x+3}{8 x^{6}+9 x+3}$

The horizontal asymptote can be determined by

$y=\frac{leading \ coefficient \ of \ numerator}{leading \ coefficient \ of \ denominator}$

Thus, from the function, the leading coefficient of numerator is -4

The leading coefficient of denominator is 8

Thus, substituting the values in the formula $y=\frac{leading \ coefficient \ of \ numerator}{leading \ coefficient \ of \ denominator}$ , we get,

$y=\frac{-4}{8}$

Dividing, we get,

$y=\frac{-1}{2}$

Thus, the horizontal asymptote is $y=\frac{-1}{2}$

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Step-by-step explanation:

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