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. this is not a multiple choice question. i will mark brainliest you will get reported if you are just here for points

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:

she gotta workk that a 2

step-by-step explanation:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4