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F(x) =3x – 2, if x 51(x + 2, if x > 1+At

F(x) =3x – 2, if x 51(x + 2, if x > 1+At-example-1

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We can instantly discard option 4, since the domain of both lines is (-infinity,1] and (1,infinity), as we can see in this graph both lines end at x equals 0.

Let's find the corresponding value of y for each line when x equals 1 to see which of the plots is the one we want.

y1(1)=3(1)-2=1

y2(1)=1+2=3

Then, as we can see the correct answer would be the plot A, since for the line that has the domain (-infinity,1] when x equals 1 y must be equal to 1 and for the lines that has the domain (1,infinity) when x equals 1, the y equals 3.

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