Solveeit Logo
Login

Question

Question: The curve y = \(\left[ \frac { 1 } { 6 } x ^ { 2 } - 2 x + 27 \right]\) where [x] is the greatest in...

The curve y = [16x2−2x+27]\left[ \frac { 1 } { 6 } x ^ { 2 } - 2 x + 27 \right] where [x] is the greatest integer less than or equal to x, 6 £ x £ 9 represents-

A

A parabola

B

Part of the parabola

C

A straight line

D

Two straight line segment

Answer

Two straight line segment

Explanation

Solution

y = [16x2−2x+27]\left[ \frac { 1 } { 6 } x ^ { 2 } - 2 x + 27 \right]

Let f(x) = 16\frac { 1 } { 6 }x2 – 2x + 27 Range of f(x) = [f(6), f(9)]

For x Ī [6, 9], y take only two integral values.