The table shows a linear function. x -5,-4,-3,-2,-1, 0, 1, 2, 3. on top row f(x) -11, -3, 5, 13, 21, 29, 37, 45, 53. on bottom row. (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.

Answers:

a)The outputs -11 and -3 one unit apart. Their difference is -8. To find this I simply did -11 - -3 = -8.

b)The outputs 5 and 21 are 2 units apart. Their difference is 16. To find this I did 21 – 5 = 16.

c)The outputs 29 and 53 are 3 units apart. Their difference is 24. To find this I again subtracted, 53 – 29 = 24.

These are the answers I'm submitting personally. I didn't put (d) tho because I wasn't sure about that one and didn't want to lead you guys wrong. I do hope this helps! Enjoy ur day! :)

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