Answer:
No.
Step-by-step explanation:
First solve for y:-
x - y^4 = 1
y^4 = x - 1
y = +/- (x - 1)^(1/4)
This is a one-to-many relation . For a given value of y there 2 values of x.
So this is NOT a function.
The equation does not define y as a function of x
The equation is given as:
x - y^4 = 1
Subtract x from both sides
-y^4 = 1 - x
Multiply both sides by -1
y^4 = x - 1
Take the 4th root of both sides
[tex]y = \pm \sqrt[4]{x - 1}[/tex]
The above means that each value of x gives two values of y.
Hence, the equation does not define y as a function of x
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