write a rule(equation) that works for the input/output table Find the missing output input

input output

5 11

6 14

10 26

14 38

17

56

write a rule(equation) that works for the input/output table Find the missing output input

input output

5 11

6 14

10 26

14 38

17

56

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Decatur, AL

y = 3x - 4

Take the first two points:

(5,11) and (6,14) Note that you could use any of them, but the numbers are smaller for these two.

Slope m = (14-11)/(6-5) = 3/1 = 3

Take either point and use the point-slope formula:

y - 11 = 3(x-5)

Distribute:

y - 11 = 3x - 15

Add 11 to both sides:

y = 3x - 15 + 11

Combine like terms:

f(17) = 3(17) - 4 = 51-4 = **47**

f^{-1}(56) => y=56=3x-4

56=3x-4

56+4 = 3x

60 = 3x

Hope this helps.

Jason

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