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andreev551 [17]
3 years ago
10

Determine whether the relations represent y as a function of x.

Mathematics
1 answer:
madam [21]3 years ago
7 0

Answer:

Both of those are functions.

Step-by-step explanation:

y=x^2 is a parabola that opens up.

Any upward or downward parabola is a function because they pass the vertical line test.

x=\pm \sqrt{1-y}{/tex]Square both sides:[tex]x^2=1-y

Subtract 1 on both sides:

x^2-1=-y

Multiply both sides by -1:

-x^2+1=y

So this is a another parabola and it is faced down.  So this is also a function.

y=ax^2+bx+c wit a \neq 0 willl always be a parabola.  

If a>0 then it is open up.

If a then it is open down.

Upwards and downward parabolas will always be functions.

x=ay^2+by+c are also parabolas but these open to the left or right.  These will not be functions because they will not pass the vertical line test.  

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