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nicole
01-06-2014, 11:30 AM
Function SAT Subject test Math level 2

How many x-intercepts has the graph of f(x)=x^5-3x^3+x^2+9 ?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

Thanks!

miranda
01-06-2014, 11:31 AM
This is a GDC (graphic display calculator) question.

For example in CASIO fx-9860 we have to do the following procedure in order to find the real roots (x-intercepts) of this graph.
MENU>GRAPH>Y1=x^5-3x^3+x^2+9>DRAW(F6)
We observe that the graph of f has one x-intercept.

Therefore the correct answer is (B)

Hope these help!!

nicole
01-06-2014, 11:32 AM
Thank you!!:D