Mathematics, 21.11.2019 01:31, uticabadgirl
Which of the following graphs could be the graph of the function f(x)=0.03x2(x2-25)?
Answers: 2
represents a polinomial of grade 4, which means that it has four roots. The roots of a function are those values that make the function equal to zero. In this particular case, the function f(x) equals zero 
=0 in two cases: 1) When the term 
, which only happens if x=0; or 2) when 
, which can happend if x=5 or if x=-5 (because the product of two negative numbers is possitive).Then, the function graph must show that, f(x) passes trough zero when x=0 (first case) or when x=5 or x=-5 (second case).The only graph that shows that is the one indicated.To verify that the function is well depicted, you can replace any specific value of x (for example x=2) in the equation 
, an see if the graph shows the correct value of f(x) given x, that in this case it is goint to be f(2)=-2.57.
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Which of the following graphs could be the graph of the function f(x)=0.03x2(x2-25)?
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