Determine whether the equation y=5^7√x defines y as a function of x.

Question

A.

​Yes, because any equation in terms of x and y is a function.

B.

​No, because for any input​ x, the equation yields more than one output y.

C.

​No, because for any input​ x, the equation yields only one output y.

D.

​Yes, because for any input​ x, the equation yields only one output y.

Answer 1

y = (5^7)(sqrx)

square both sides

y^2 = (5^7)x

x = (1/5^7)y^2 is a rightward opening parabola

It's not a function as it fails the vertical line test

there are two values of y for each value of x

B) is the correct answer