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tramserran

This is a more difficult one to explain. Let's start with the line to the right.  It has a slope (m) of [tex]\frac{-2}{2}[/tex] = -1 and a y-intercept of +3 (continue the line to see where it crosses the y-axis). So, the equation of that line is: y = -x + 3 when x ≥ 2. This can also be written as y = 3 - x when x ≥ 2.  The only option that has that equation is A.

Answer: A

First of all, you can see that this is a piecewise polynomial, since it is shaped like a parabola before [tex] x = 2 [/tex], and is a line after [tex] x = 2 [/tex] So, option C is surely wrong, because it uses [tex] x = 3 [/tex] as splitting point.

Moreover, the way the parabola "bounces" on the x axis, avoiding its negative part, tells us that there is an absolute value. This excludes options B and D, and the answer is thus A.

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