is y^2=-5x-12 a function

Question

03-07-2024
Mathematics

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is y^2=-5x-12 a function

Sagot :

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MissGo MissGo · Answer 1 · 2024-07-03T09:51:03-04:00

Answer:

No

Step-by-step explanation:

The definition of a function is in general:
For each x value there is exactly one y value.

This is not true for your given equation:
For example the x-value: 0 gives y^2 = -12 which has no real solution (but two imaginary solutions)
For example the x-value: -3 gives y^2 = 3 which has the solutions y = [tex]\sqrt{3}[/tex] and y = - [tex]\sqrt{3}[/tex]

Therefore the "exactly one y value" rule is almost everywhere not fulfilled, therefore the horizontal parabola y^2 = -5x -12 is not a function.

is y^2=-5x-12 a function

Sagot :

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