Question

The graph of a quadratic polynomial $f\left(x\right)$ is shown below


Which of the following options is/are correct?

• A. $f\left(6\right)>0$
• B. $f\left(3\right)>0$
• C. $f(-0.5)<0$
• D. $f(-1)=f\left(5\right)$

Answer 1

Answer: (A), (C), (D)

The correct options are
A $f\left(6\right)>0$
C $f(-0.5)<0$
D $f(-1)=f\left(5\right)$


From the given graph, we can conclude that zeroes of the quadratic polynomial $f\left(x\right)$ are $-1,5.$

$\left(1\right)f\left(x\right)>0\Rightarrow x\in (-\infty ,-1)\cup (5,\infty )$
$\left(2\right)f\left(x\right)<0\Rightarrow -1<x<5$
$\left(2\right)f\left(x\right)=0\Rightarrow x=-1,5$