write a function in any form that would match the graph shown below.\nanswer\n$f(x)=$
write a function in any form that would match the graph shown below.\nanswer\n$f(x)=$
Answer
Answer:
$f(x)=(x + 2)(x - 1)(x - 3)$
Explanation:
Step1: Identify x - intercepts
The x - intercepts are $x=-2,1,3$.
Step2: Write factored form
A polynomial function with x - intercepts $a,b,c$ can be written as $f(x)=k(x - a)(x - b)(x - c)$. Here $a=-2,b = 1,c = 3$ and we can choose $k = 1$ for simplicity, so $f(x)=(x+2)(x - 1)(x - 3)$.