Answering questions 41-44, 46-52, 54-62

for multiple choice no work/ignore

2:09 .LTE 304 A M2 Final Review(1of2) F2... Q Analyze the graph of the given function f as follows: () Determine the end behavior: find the power function that the graph of f resembles for large values of |x|. (b) Find the x- and y-intercepts of the graph. (c) Determine whether the graph crosses or touches the x-axis at each x-intercept. () Determine the max number of turning points (no need to find minimum and mummum and maximum) Use the information obtained to draw a complete graph of f by hand. Label all intercepts . 41) f(x) = x2(x +3) 41) 42) f(x) = -x2(x - 1)(x + 3) 42) Find the vertical asymptotes of the rational function. 49x - x3 13) Give the equation of the horizontal asymptote, if any, of the function. 44) h(x) = _k-2 X - 6 4)_ Give the equation of the oblique asymptote, if any, of the function. 15) f(x) = 2x5 + 11x2+ 5x - 1 x2 + 6x + 5 45) A) y = 2x + 1 3) y = 2x - 1 C) y =0 D) y = 2x Analyze the function and sketch: answers provided are not accurate a) Find the domain in interval notation b) Find all asymptotes : vertical, horizontal, oblique if any c) Find the x and y intercepts d) Determine whether the graph touches or crosses at each x intercept e) Does the graph cross/intersect any of its asymptotes? If () Chart of signs using test points g) Use the info from the steps a-f to sketch the graph 2-1 47) ((x) - x2 + 8x + 15 x2 + 5 Solve the inequality. 48) x3 + 4x2 - 21X > 0 49) -- 26X 50) X2(x - 12)(x + 1) 50) (x - 5)(x+ 8) Find all zeros of the function and write the polynomial as a product of linear factors. 51) f(x) - x3 + 8x2 + 26x + 28 51) 52) f(x) = x4 + 2x3 - 4x2 + 8x - 32 Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. 53) Degree 5; zeros: 9, 5 + 51, -91 53) A) 5 - 5i, 9i B) -5 + 5i, 9i C) -9,5 - 5i, 9i D) -5 - 5i, 9i Form a polynomial f(x) with real coefficients having the given degree and zeros. 54) Degree: 3: zeros: -2 ar 54) Use the given zero to find the remaining zeros of the function. 55) f(x) = x3 - 2x2 - 11x + 52; zero: -4 65 Find all zeros of the function and write the polynomial as a product of linear factors. 56) f(x) = 3x4 - 5x3 + 10x2 - 20x - 8 For the given functions f and g, find the requested composite function value. 57) f(x) = -, g(x) = x2 + 9: Find (g .D)(-2) 67) For the given functions f and g, find the requested composite function. 58) f(xx) = . g(x) = :Find (f -g)(x). 58) 59) f(x) = 4x2 + 2x + 8. g(x) - 2x - 6: Find (g of)(x). Find functions f and g so that fog = H. 60) H(X) = 2.7 60) 61) H(x) = 14 - 3x2 Find the domain of the composite function fog 62) f(x) = 3x + 15; g(x) = Vx Use the horizontal line test to determine whether the function is one-to-one. 63) 63) A) Yes B) No Indicate whether the function is one-to-one. 64) ((5, 8). (-8. -5). (7. -1). (-7. 1)} 64) B) No Use the graph of the given one-to-one function to sketch the graph of the inverse function. For convenience, the graph of y = x is also given. 65) 65) 0= 2 21 DOO 0= n Dashboard Calendar To Do Notifications Inbox