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The table shows a linear function.
x 5 4 3 2 1
0 1 2 3
f x  11 3
5 13 21 29 37 45 53
(a) Determine the difference of outputs of any two inputs that are 1 unit apart. Show your work.
(b) Determine the difference of outputs of any two inputs that are 2 units apart. Show your work.
(c) Determine the difference of outputs of any two inputs that are 3 units apart. Show your work.
(d) What do you notice about the ratios of the differences in the outputs to the input intervals? Explain
your answer.

Respuesta :

Answer:

a) I used the equation x=-5; f(x)=-11 and x=-4; f(x)=-3. We get the range = -3-(-11)=8

b) I used the equation x=-5; f(x)=-11 and x=-3; f(x)=5. We get the range = 5-(-11)=16

c) I used the equation x=-5; f(x)=-11 and x=-2; f(x)=13. We get the range = 13-(-11)=24

d) Range of input is equal with the ratios of the output. You can find the pattern of output above 8,16,and 24 can divided by 8 and give the result 1,2 and 3