Determine if the equation $2 x ^ { 2 } y - y - 5 = 0$ defines $y$ as a function of $x$ . Explain your answer.

Name: Determine if the equation $2 x ^ { 2 } y - y - 5 = 0$ defines $y$ as a function of $x$ . Explain your answer.
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Question

Quizplus · Accepted Answer

The Answer is

3 x - | y | = 0

\Leftrightarrow

| y | = 3 x

\Leftrightarrow

y = 3 x

or

y = - 3 x

. No. Since this equation gives two values of

y

for a given value of

x

, the given equation does not define a function of

x

.

Determine If the Equation 2x2y−y−5=02 x ^ { 2 } y - y - 5 = 02x2y−y−5=0

Determine If the Equation $2 x ^ { 2 } y - y - 5 = 0$