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Show that y2=x, where x is positive number is not a function
Show that y2=x, where x is positive number is not a function.This can be done by showing that one value of x corresponds to more than two values of y.
Expert Solution
the given function is y2 = x;
since y can not be a function;
for the existence of a function, at a single value of domain there is only one value corresponding in range.
if we consider y as a function; given y2 = x;
here domain is x and at every value of x there are two values of y. it is a parabola which is on the +x axis to +y axis and -y axis.( on the right side of quadrants and above and below).
we can take example at x = 4; y = +2, -2
it means that function can be define only when at one value of x there will be a unique value in y. there will be not more than one value.
so y2 = x can not be a function.
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