a quadratic function ( f(x) ) is hidden from view. you must find all intervals where ( f(x) ) is negative…
a quadratic function ( f(x) ) is hidden from view. you must find all intervals where ( f(x) ) is negative. choose the form of the quadratic function ( f(x) ) that you would like to see in order to answer the question most efficiently.
Answer
Brief Explanations:
To find the intervals where a quadratic function (f(x)) is negative, the factored form (f(x)=a(x - r_1)(x - r_2)) (where (r_1) and (r_2) are the roots of the quadratic function) is most useful. We can determine the sign of the quadratic function in the intervals separated by the roots. If (a>0), the function is negative between the two roots ((r_1<x<r_2) when (r_1 < r_2)). If (a < 0), the function is negative outside the interval of the roots ((x<r_1) or (x > r_2) when (r_1<r_2)).
Answer:
Factored form.