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Consider it as a graph with points (x, f(x)):

you have two points (0, 1) and (1, 4) joined by a line (as it is a linear function).

The slope m = change in y/change in x = (4-1)/(1-0) = 3

Using y - Yo = m(y - Xo)

y - 1 = 3(x - 0)

→ y = 3x + 1

→ f(x) = 3x + 1

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Q: What linear function gives you f(0) 1 and f(1) 4?
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