Algebra-18- Maxima Minima of Graphs/Functions || Quantitative Aptitude || CAT 2021 || 02 October

A function is defined as the sum of the digits of α, where 10 < α < 99 If , where y = 12, what is the maximum possible value of x + z?

A function f( x) is defined for a real variable x, as f( x) = max{4x + 8, 26 – 6x, 14 – x}. The minimum possible value of f( x) is

Let g(x) = max(5 − x, x + 2). The smallest possible value of g(x) is

Let f(x)=min{2x², 52 - 5x} , where x is any positive real number. Then if a is the the maximum possible value of f(x) , what is true about “a” .

What is the value of a, for which is minimum?

The function f(x) = |x − 2| + |2.5 − x| + |3.6 − x|, where x is a real number, attains a minimum at

The graph of a quadratic expression, ax² + bx + c ,attains a maximum value of 564 at x = 5. If the graph intersects the x -axis at two points, one positive and the other negative, then which of the following statements are true?