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7. Given the function f(x) =x2 -5, determine the value of f( f (-1)). A. -8 B. -4 C. 11 D. 16 Use the following information to answer the next question An orchestra has 2 violinists, 3 cellists, and 4 harpists. Assume that the players of each instrument have to sit together, but they can sit in any position in their own group. 8. In how many ways can the conductor seat the members of the orchestra in a line? A. 72 B.) 24 C. 144 D. 17284. Given the functions f(x) =x3 -81x and g(x) = x +9, determine the simplified equation for the combined function y = f(x) g (x) A. - x+9' x7-9 B. - x-907-9,9 C. x(x +9), x*-9 D. x(x - 9), x #-9 5. Given the functions f (x) = - V x +2 and g(x) =x2 -2x +-7, what is the domain of the combined function k(x) =f(x) -9(x)? A. {x x 27, 2 ER} B. {x x 2-2, x ER} C. {x x 2 -9, x ER} D. Cannot be determined6. Given the functions /(x) = VT and g(x) = -1(x -5), which of the following is most likely the graph of y = f(g(z))? 1. B. C. D.1 1. For a mock United Nations, 6 boys and 7 girls are to be chosen. If there are 12 boys and 9 gifts choose from, how many groups are possible? CA 960 B. 33,264 C. 846,720 D. 120, 708,403,200 12. Determine the coefficient, a, for the term axby of the binomial expansion of (x ty) 2. A. 35 B. 60 C. 792 D. 3,991,680 13. Which of the following has 30 terms in its binomial expansion? A. (-2y ) 29 B. (-4 -2y) C. (-4-24) 31 D. (-4x -2y) 29Use the following information to answer the next question colorDD elquail 10.4 2. If a, b. and c are whole numbers, then which function best represents the graph shown above? A. f(x) =+ B. f(x) =- - b C. f(x) =- -C ac-b D. f(x) 3. Which function has a point of discontinuity at a = a? A. f(x) = (x -a)(x-b) B. f(x) = (ac -b) (x -a)(x-c) C. f(x) = ( ta)(x+b) D. f(x) (x - a) (x - a) (x-b)Date: Multiple Choice and Numerical Response 1. What is the x-intercept of /(a) = A.0 B. 1 C. D. There is no x-interceptWritten Response (show all work to receive full marks) 14. Consider the function f(x) =10 Determine the key features of the function. [3 marks) E-2 a) Equation of any asymptotes and/or points of discontinuity b) Intercepts c) Domain and Range15. Given the functions f(x) =2 -4 and ,(x) =x -3x +2, determine a simplified equation for g(x) State the restrictions. [3 marks]a) Sketch the graph of a rational function with the following characteristics: . a vertical asymptote with equation s = -1 . . a horizontal asymptote with equation y = -1 a point of discontinuity at (-2.-2) [3 marks] -2 b) The equation of the above rational function can be written in the form f(2) = (r ta) + d. Determine the values of a, b, c, and d. [2 marks] (x+b)(x+c)