Graph the following:
| There is one function that has 2 different parts. | ||
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Solve |
Step |
Check |
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Part 1: y = g(x) = 2 |
when x < 0 | |
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Horizontal line y =
2
The solid circle denotes that 0 is included since x < 0 Click here for Lines Tutorial. |
g(-5) = 2 since -5 £
0
g(-2) = 2 since -2 £ 0 g(-0.1) = 2 since -0.1 £ 0 g(0) = 2 since 0 > 0 |
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Part 2: y = g(x) = 2x + 1 |
when x > 0 | |
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Linear function y =
g(x) = x
The open circle denotes that 0 is not included since x > 0 Click here for Lines Tutorial. |
g(.1) = 2(.1) + 1 = 1.2 since 0.1 > 0 g(0) = 2(1) + 1 = 3 g(2) = 2(2) + 1 = 5 g(3) = 2(3) + 1 = 7 |
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Put both parts together... |
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It is beautiful! | |
