Preview File Edit View Tools Window Help 75% Fri 9:11 PM IMG_9375.HEIC View Zoom Share Highlight Rotate Markup Search... 1. Graph the function in the ts-plane (t-axis horizontal, s-axis vertical). What is the period of the function? What symmetry does the graph have? s = tan 4t Choose the correct graph below. O A. O B. O c. OD. AS As The period is (Type an exact answer, using it as needed.) Which of the following describes the graph? O A. It is symmetric about the origin. O B. It does not have any symmetry. O C. It is symmetric about the s-axis. 8 MAR 10 zoomPreview File Edit View Go Tools Window Help 74% Fri 9:15 PM :8 Q DE IMG_9376.HEIC View Zoom Share Highlight Rotate Markup Search... 2. Graph y = sin x and y = [sin x ] together. What are the domain and range of [sin x_]? Graph the two functions. Choose the correct graph below. O A. O B. O c. OD. nts The domain of [sin x | is (Type your answer using interval notation.) pdf The range of [sin x ] is y = (Use a comma to separate answers as needed.) MAR 10 zoom6 Preview File Edit View Go Tools Window Help L: a? 74%: Fri9:15PM Q 6 EE 0 O . |MG_9377.HE|C View Zoom Share Highlight Rotate Markup Search... 3- (3) Find the slope of the curve y = x2 - 3x 4 at the point P(2, - 6)~by nding the limit of the secant slopes through (b) Find an equation of the tangent line to the curve at P(2, - 6). (a) The slope of the curve at P(2, 6) is 1:]. (Simplify your answer.) (b) The equation of the tangent line to the curve at P(2, - 6) is y = [:1 .@3%&li'lil@df$x \"in\" m 4. Which of the following statements about the function y = f(x) graphed here are true, and which are false? a. lim f(x) exists. 2- X-0 y= f (x ) 1- O False O True b. lim f(x) = 0. X- 0 False O True c. lim f(x) = -1. X -+ 0 O True O False d. lim f(x) = 1. X- 1 O False O True e. lim f(x) = 0. x- 1 O True O False f. lim f(x) exists at every point x in ( - 1, 1). x- XO O True O FalsePreview File Edit View Go Tools Window Help 74% Fri 9:15 PM : QE IMG_9379.HEIC View Zoom Share Highlight Rotate Markup Search... 5. Explain why the limit does not exist. X lim x-0 /x Fill in the blanks in the following statement, and then answer the multiple choice below. X X As x approaches 0 from the left, ( X 1 approaches (1) As x approaches 0 from the right, approaches (2) A. Since the function is not defined at x = 0, there is no way of knowing the limit as x-0. O B. There is no single number L that the function values all get arbitrarily close to as x- 0. (1) 0 - 1 (2) - 1 01 O 1 Oo O MAR 10 zoom6. If f(1) = 5, must lim f(x) exist? If it does, then must lim f(x) =5? Can we conclude anything about lim f(x)? Explain. x- 1 X- 1 X- 1 If f(1) = 5, must lim f(x) exist? O A. Yes, because lim f(x) = f(a). x-a O B. Yes, because f(x) is defined at 1. O C. No, because even if a function is defined at a point, the limit may not exist at that point. O D. No, because lim f(x) does not exist for x = 1 x- a If lim f(x) exists, must lim f(x) = 5? X- 1 X- 1 O A. No, because even if a function is defined at a point, the limit may not exist at that point. B. No, because f(x) could be a piecewise function where the limit approaching 1 from the left and the right are the same, but f(1) is defined as a different value. O c. Yes, because f(1) = 5. O D. Yes, because lim f(x) = f(a). x-a What can we conclude about lim f(x)? X- 1 O A. lim f(x) does not exist. X- 1 O B. lim f(x) = 5 X- 1 O C. lim f(x) exists, but we cannot find the value of the limit. x-+ 1 O D. We cannot conclude anything about lim f(x). X - 1 Find the7. Find the limit as x approaches - 5 for the funcllon f(x) = 6x + 11. (Simplify your answer) 8. Find the following limit. _ x+5 [Im 2_ x-3 X +14X+45 Select the correct choice below and ll in any answer boxes in your choice. x+5 O A. lim 2 = l l (Simplify your answer.) x3 x +14x+45 O B. The limit does not exist