Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of $29.
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For the interval (-∞, 1), put x = 0.5, then y = - 0.5 + 3 = 2.5.
Therefore, (0.5, 2.5) is a point on y = -x + 3.
Put x = - 1, then y = -(-1) + 3 = 1 + 3 = 4.
Therefore, (-1, 4) is another point on y = -x + 3.
Joining (0.5, 2.5) and (-1, 4), we get the graph of the line y = -x + 3.
For the interval [1, ∞), put x = 1, then y = 2(1) - 4 = -2.
Therefore, (1, -2) is a point on y = 2x - 4.
Put x = 2, then y = 2(2) - 4 = 4 - 4 = 0.
Therefore, (2, 0) is another point on y = 2x - 4.
Joining (1, -2) and (2, 0), we get the graph of the line y = 2x - 4.
