Graphs of functions of one real variable
NP1: Plot the following function:
(i) Linear Function: y = 3 + 2x
Solutions:
x | -2 | -1 | 0 | 1 | 2 |
---|---|---|---|---|---|
y = f(x) | -1 | 1 | 3 | 5 | 7 |
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(ii) Quadratic Function: y = x² + 3x − 4
Solutions:
x | -4 | -3 | -2 | -1 | 0 | 1 |
---|---|---|---|---|---|---|
y = f(x) | 4 | 2 | 0 | -2 | -4 | 0 |
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(iii) Linear Function: y = - x + 4
Solutions:
x | 0 | 1 | 2 | 3 | 4 |
---|---|---|---|---|---|
y = f(x) | 4 | 3 | 2 | 1 | 0 |
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(iv) Quadratic Function: y = x² - 2x − 3
Solutions:
x | -1 | 0 | 1 | 2 | 3 |
---|---|---|---|---|---|
y = f(x) | 0 | -3 | -4 | -3 | 0 |
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(v) Cubic Function: y = x³ - 3x
Solutions:
x | -2 | -1 | 0 | 1 | 2 |
---|---|---|---|---|---|
y = f(x) | -2 | 2 | 0 | -2 | 2 |
Click here: Graph of Functions | Desmos
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