If $f (x) = - 2 x^{2} + 8 x - 4$ , which of the following is true ?

The maximum value of

f (x)

- 4

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The graph of f opens upwards.

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The graph of f has no x-intercept.

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f is not a one to one function.

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Solution

The correct option is C f is not a one to one function.
f(x) is a quadratic function and its graph is a parabola that may be intercepted by horizontal lines at two points and therefore is not a one to one function. Thus, option D is correct.

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