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.

Answer:

THIS IS NOT A MULTIPLE CHOICE QUESTION. I WILL MARK BRAINLIEST PLEASE HELP YOU WILL GET REPORTED IF YOU ARE JUST HERE FOR POINTS

a) I use x=-5; f(x)=-11 and x=-4; f(x)=-3. We get the range = -3-(-11)=8b)I use x=-5; f(x)=-11 and x=-3; f(x)=5. We get the range = 5-(-11)=16c)I use x=-5; f(x)=-11 and x=-2; f(x)=13. We get the range = 13-(-11)=24d) 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
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edenbasipov edenbasipov · Answer 2 · 2021-07-22T23:10:23+02:00

Answer:

37-29=8. They are 1 unit apart.

45-29=16. They are 2 units apart.

53-29=24. They are three units apart.

The ratios of the differences in the outputs to the input intervals make up an arithmetic sequence. The ratio between two values of f(x) that are 1 unit apart is always 8. Two units apart is always 16. Three units apart is always 24.

The sequence is a_n=37+(n-1)*8.

Step-by-step explanation: