1) 2) The function g is defined for all real numbers except for a = -1. Function g is graphed. y = g(x) 7-6 -5 -4-3-2 12345 6 7 9 -8 -7- 6 -5 -4-3-2 1 2 3 4 5 6 7 8 9 What is a reasonable estimate for lim g() ? What appears to be the value of lim g(a)? 3) 4) Function h is graphed. The function h is defined for all real numbers. y = h(x) y 9-8-7-8 - 5-4-3-2 23456789 -7 -6 -5 -4 -3 -2 1 2 3 4 5( h What appears to be the value of lim h(x)? What is a reasonable estimate for lim h(x)? 20--25} Which graphs agree A with this statement? JLLL 900 = -2 Choose all answers that apply: 5} Consider the graph of function h. Which limit expressions agree with the graph? Choose all answers that apply: None of the above (,9 lim1+ h(:z:) = 6 1m WP -3 lim h(a:) = 5 17)4 None of the above 8) Consider the graph of function f. Dashed lines signify asymptotes. 9 lim x) is unbounded. :z:J-4 0C9 lim f(:z:) : 6 2744 lim f(2:) = 3 31-4 Which limit expressions agree with the graph? The function h is dened over the real numbers. This table gives several values of h. a: 9 8 7 6 5 4 3 Mac) 2.37 3.556 5.333 7.888 12 18 27 Is the table appropriate for approximating lim6 Me)? If not. why? a: >- Choose 1 answer: The table is appropriate. None of the above The table isn't appropriate. The :rvalues only approach 6 from one direction. The table isn't appropriate. The increments in wvalues are constant. 9} Each table is accurate, but which one is the best for approximating the limit? Choose 1 answer: G) A a: 3.9 3.95 3.999 4.001 4.05 9(a) 4.475 4.488 4.5 4.5 4.513 B a," 4.1 4.05 4.001 4.001 4.05 4.1 9(3) 5.525 5.513 5.5 4.5 4.513 4.525 C 3: 3 3.5 3.75 3.95 3.999 9(3) 4.25 4.375 4.438 4.498 4.5 Explain why you chose this table. 10) Consider the following one-sided limit, lim log (2:2 25) 35)5+ Use a table of values to describe the behavior of the function as x approaches 4 from the right side hence evaluateali'n'}+ log (at2 25). Sketch a graph to support your explanation. 11) Consider the following one-sided limit, Use a table of values to describe the behavior of the function as x approaches 2 from the left side . 3x25 hence evaluate 11m xrZ' 1-2 . Sketch a graph to support your explanation. 12) A shipping company charges 10 AED for each kg or portions of 3 kg that a package weighs, with a maximum charge of 200 AED for a package. If C(w) equals the total cost for shipping a package with wweight, sketch a graph of y = C(w) for 0 S w S 200. Determine the limits tligos C (w) and ling C (w), if they exist