tmua 2016 Q14

tmua · Uk · paper2 1 marks Curve Sketching Variation Table and Monotonicity from Sign of Derivative

$f ( x ) = a x ^ { 4 } + b x ^ { 3 } + c x ^ { 2 } + d x + e$, where $a , b , c , d$, and $e$ are real numbers.
Suppose $f ( x ) = 1$ has $p$ distinct real solutions, $f ( x ) = 2$ has $q$ distinct real solutions, $f ( x ) = 3$ has $r$ distinct real solutions, and $f ( x ) = 4$ has $s$ distinct real solutions.
Which one of the following is not possible?

& D & 14 & B

$f ( x ) = a x ^ { 4 } + b x ^ { 3 } + c x ^ { 2 } + d x + e$, where $a , b , c , d$, and $e$ are real numbers.

Suppose $f ( x ) = 1$ has $p$ distinct real solutions, $f ( x ) = 2$ has $q$ distinct real solutions, $f ( x ) = 3$ has $r$ distinct real solutions, and $f ( x ) = 4$ has $s$ distinct real solutions.

Which one of the following is not possible?

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20