Oxford University MAT 2017 Solved Papers

Question : 1 of 10

Marks: +1, -0

Let

f(x)=2 x^3-k x^2+2 x-k .

For what values of the real number

k

does the graph

y=f(x)

have two distinct real stationary points?

Solution:

In order to have two distinct real stationary points we require

4 k^2-48

to be positive. Rearranging gives

k>√{12}

k< -√{12}

so the answer is (b).

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