cmi-entrance 2016 Q8

cmi-entrance · India · ugmath 4 marks Factor & Remainder Theorem True/False or Multiple-Statement Evaluation

A function $g$ satisfies the property that $g(k) = 3k + 5$ for each of the 15 integer values of $k$ in $[1,15]$.
For each statement below, state if it is true or false.
(i) If $g(x)$ is a linear polynomial, then $g(x) = 3x + 5$.
(ii) $g$ cannot be a polynomial of degree 10.
(iii) $g$ cannot be a polynomial of degree 20.
(iv) If $g$ is differentiable, then $g$ must be a polynomial.

A function $g$ satisfies the property that $g(k) = 3k + 5$ for each of the 15 integer values of $k$ in $[1,15]$.

For each statement below, state if it is true or false.

(i) If $g(x)$ is a linear polynomial, then $g(x) = 3x + 5$.

(ii) $g$ cannot be a polynomial of degree 10.

(iii) $g$ cannot be a polynomial of degree 20.

(iv) If $g$ is differentiable, then $g$ must be a polynomial.

Paper Questions

QB1 QB2 QB3 QB4 QB5 QB6 Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10