Question

If f(x) = x^2 - 4x + 3, and the domain is {-2, 0, 1}, what is the range?

Answer 1

Evaluate the function at the three values of the range and see what you get. The appropriate choice is ...

... D) {15, 3, 0}

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Evaluation can sometimes be simpler if you rearrange the function to a form called "Horner's form."

... f(x) = (x -4)x +3

Then the evaluation looks like (for x=-2) ...

... f(-2) = (-2-4)(-2)+3 = (-6)(-2) +3 = 12 +3 = 15

This is sufficient to identify D as the answer of choice.