Question

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


Which of the following options is/are correct?

• A. $f\left(0\right)>0$
• B. $f\left(3\right)>0$
• C. $f(-7)=0$
• D. $f(-3)>0$

Answer 1

Answer: (C), (D)

$f(-3)>0$


From the given graph, we can conclude that zeroes of the quadratic polynomial $f\left(x\right)$ are $-7,-2.$

$\left(1\right)f\left(x\right)>0\Rightarrow -7<x<-2$
$\left(2\right)f\left(x\right)<0\Rightarrow x\in (-\infty ,-7)\cup (-2,\infty )$
$\left(3\right)f\left(x\right)=0\Rightarrow x=-7,-2$