I health club charges $35 a month for membership fees. Determine whether the cost of a membership is proportional to the number
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f(x) =3x^2+9x-2 has a minimum value. Minimum value of f(x) is
<u>Solution:</u>
Given, equation is
We have to find whether given equation has maximum or minimum for the given equation.
Now, we know that, f(x) is a quadratic equation and coefficient has is positive, then its graph is upward parabola. Which means that it will have minimum
The minimum value upward parabola will be its vertex.
So, let us convert f(x) into general form. That is,
where a is constant and (h, k) is vertex
Taking "3" as common from first three terms,
Now multiply and divide “2” with “3x” for easier calculations
So, by comparison with general form we get,