Comparing Function Values for Quadratic Function

Very Hard Quantitative Comparisons Functions

Consider the function defined by $$f(x) = -2x^2 + 3x + 10$$.

We want to compare the values of this function at two points:

1. $$f(1)$$

2. $$f(5)$$

Determine which of the following comparisons is true:

$$f(1) > f(5)$$

$$f(1) < f(5)$$

$$f(1) = f(5)$$

The comparison cannot be made.

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