Please help me answer questions #1 , 4 (two screen shots) , 6 , and 8. Please explain your given answer. Thank you :)

Question 1 of 25 > Use either a graph or a table to investigate the following limit. _ LSIJ HE} [Express numbers in exact form. Use symbolic notation and fractions where needed.) Mien Question 4 of 25 > Attempt 2 (a) Use a table to investigate. x 8 lim 1412 2 [Give an exact answer. Use symbolic notation and fractions where needed.) (b) How close must it be to 12, so that x) is within 0.1 of the limit? (Give your answer as an interval in the fomi (at, *)_ Use the symbol on for innity, U for combining intervals, and an appropriate type of parenthesis " [", \") " , " [", \"] \" depending on whether the interval is open or closed. Enter El if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) . (c) How close must 1: he to 12, so that x) is within 0.01 of the limit? [Give your answer as an interval in the fomi (ac, ac). Use the symbol on for innity, U for combining intervals, and an appropriate Question 4 of 25 > Attempt 2 [DJ How close must it he to 12, so that 11):) is within 0.1 of the limit? [Give your answer as an interval in the form (ac, as). Use the symbol can for innity, U for combining intervals, and an appropriate type of parenthesis " (" " " , " [", "] \" depending on whether the interval is open or closed. Enter 93 if the interval is empty. I Express numbers in exact form. Use symbolic notation and fractions where needed.) . [cJ How close must it he to 12, so that x) is within 0.01 of the limit? [Give your answer as an interval in the form (ac, ac). Use the symbol on for innity, U for combining intervals, and an appropriate type of parenthesis " [", \") " , " [", "] \" depending on whether the interval is open or closed. Enter [3 if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) . Question 6 of 25 > Attempt 2 Find the limit of the difference quotient of f() =3. (Express numbers in exact form. Use symbolic notation and fractions where needed.) lim f ( x + h) - f(x) h-0 hQuestion 8 of 25 > Find the limit of the difference quotient, lim f( x + h)- f(x) , for the function f(x) = 4x + 7. h-0 h (Give an exact answer. Use symbolic notation and fractions where needed.) limit of difference quotient