Question 148
We are given the quadratic function $f$ defined by $f(x) = (m-1)x^{2} + m x + m$, where $m \neq 1$.
a. For $m=3$ compute the minimum value of the function $f$.
b. Find all real numbers $m$ for which the function $f$ is strictly negative for every $x$.
a. For $m=3$ compute the minimum value of the function $f$.
b. Find all real numbers $m$ for which the function $f$ is strictly negative for every $x$.