Homework Help: Math

Posted by Anonymous on Thursday, October 14, 2010 at 11:16pm.

The question is:
Fr what value(s) of k will the function f(x)=(kx^2)-4x+k have no zeroes.

So for that, the discriminant would be less than 0.

0>D
0>((-4)^2)-4(k)(k)
0>16-(4k^2)
4k^2>16
k^2>4
k>+2/-2

So I know that I'm supposed to graph it with D as one axis an k as the other, and then shade the part of the graph that agrees with D<0, and use that to make the restrictions.

BUT I don't know whether the graph hs a minimum or maximum because I don't know the k value which is the a value that determines whether or not the graph has a minimum or maximum.

How do I finish this question?

Thanks.

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