GATE IN 2021 | Question: 23

Question

Consider the function $f\left ( x \right )=-x^{2}+10x+100$. The minimum value of the function in interval $[5,10]$ is ___________.

Answer 1

Ans :- 100

Concept : A quadratic ax2+bx+c with a<0 is concave down; its vertex gives a maximum. Therefore minima on a closed interval occur at the interval endpoints.