Write a linear function f with f (0) = 2 and f (2) = 4

f(x) = x + 2

Step-by-step explanation:

A linear function has the form

f(x) = mx + c

Evaluate f(0) = 2, that is

2 = m(0) + c

2 = 0 + c ⇒ c = 2

Evaluate f(2) = 4, that is

4 = 2m + c ← substitute c = 2

4 = 2m + 2 ( subtract 2 from both sides )

2 = 2m ( divide both sides by 2 )

1 = m

Hence

f(x) = x + 2 ← is a possible linear function

quit

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