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

Given the function:

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

Determine for which values of x the following holds:

f(x)>0 f(x) > 0

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given the function:

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

Determine for which values of x the following holds:

f(x)>0 f(x) > 0

2

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.

3

Final Answer

x0 x\ne0

Practice Quiz

Test your knowledge with interactive questions

The graph of the function below intersects the X-axis at points A and B.

The vertex of the parabola is marked at point C.

Find all values of \( x \) where \( f\left(x\right) > 0 \).

AAABBBCCCX

🌟 Unlock Your Math Potential

Get unlimited access to all 18 The Quadratic Function questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations