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3 years ago

Graph the function and identify the domain and range. y=-4x^2

Mathematics

1 answer:

Flauer [41]3 years ago

6 0

Answer:

Domain: All real numbers, Range: All real numbers greater or equal to 0.

Step-by-step explanation:

A second order polynomial is a continuous function and therefore, domains is the set of all real numbers. Lastly, the range of the function according to the graph is all values of x greater or equal to 0. The positive leading coefficient of the polynomial indicates the existence of an absolute minimum.

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What is the inverse of the following statement? If m is the midpoint of PQ, then PM is congruent to QM

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The inverse of the statement is M be the point on PQ since PM is congruent to QM than M is midpoint on the PQ.

<h3>What do you mean by inverse?</h3>

Inverse of the statement means that explain the condition in reverse way or vice versa.

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Thus, the inverse of the statement is M be the point on PQ since PM is congruent to QM than M is midpoint on the PQ.

Learn more about inverse here:
brainly.com/question/5338106

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2 years ago

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vesna_86 [32]

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now, if the denominator turns to 0, the fraction becomes undefined, and you get a "vertical asymptote" when that happens, so let's check when is that

$\bf sin\left(x-\frac{2\pi }{3} \right)=0\implies sin^{-1}\left[ sin\left(x-\frac{2\pi }{3} \right) \right]=sin^{-1}(0)
\\\\\\
x-\frac{2\pi }{3}=
\begin{cases}
0\\
\pi 
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{2\pi }{3}\\
\frac{5\pi }{3}
\end{cases}$

now, at those angles, the function is asymptotic, check the picture below

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