1728/6 Use the space below to enter the letters corresponding to the Limit Laws that you used to find this limit: Limit Laws A. Quotient Law B. Power Law C. Sum Law D. Product Law E. Constant Multiple Law F. Root Law G. Difference Law

B. Power Law

C. Sum Law

G. Difference Law

Step-by-step explanation:

Power law determines functional relationship between two quantities. When there is change in one quantity, this will result in proportional relative change in another quantity. Sum law of limit determines the limit of sum of two functions. Difference law of limits  is a constant times a function is equal to the limit of that function.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

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

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer