Solving for Positive Values: When is y = -3/5x^2 Greater Than Zero?

Question

Given the function:

y=35x2 y=-\frac{3}{5}x^2

Determine for which values of x the following holds:

f(x) > 0

Step-by-Step Solution

The function y=35x2 y = -\frac{3}{5}x^2 is quadratic with a negative leading coefficient, meaning the parabola opens downward. This implies that the function cannot be greater than zero for any real value of x x because it reaches its maximum (zero) at x=0 x = 0 and decreases as x |x| increases.

Therefore, there are no x x values for which f(x)>0 f(x) > 0 .

The correct choice reflecting this conclusion is: No x.

Answer

x0 x\ne0