Part A - Multiple Choice [K/U - 15 marks] 1. To add two functions, you simply add the corresponding y-coordinates to get the combined function value. a) True b) false 2. Given the functions f(x) = x + 1 and g(x) - 3-X, determine an equation for the combined function y = f(x) + g(x). a. y = x - x+2 by = x - x +4 c. y = x + x+4 d. y=x +x-2 3. Given the functions f(x) = x' + 1 and g(x) = 3-X, determine an equation for the combined function y = f(x)g(x). a. y = -x + 3x - x+3 by=-x'+3x +x-3 c.y=x + 3x' - x+3 d.ym-x' +2x-x+ 3 Rx) 4. Given the functions f(x) = x - x and g(x) = x- 1, determine an equation for the combined function ) = 8(x) a. y=x' +x, x#1 b. y = = X X- 1. X= 1 c. y=x-x, x#1 dy-_. xml 5. Given the functions f(x) = x" - x and g(x) = x- 1, determine an equation for the composite function y = fg(x)). a. y = x - 3x+ 1 by = x - 3x+ 2 c. y=x-x-1 dy=x-x+1 6. Given the functions f(x) = sinx and g(x) = X, determine the domain of the combined function y = f(x) + g(x). a. {X E R, - 21 5 x 5 2x} b. { x E R} c. {x E R, - 1Sx$1} d. cannot be determined 7. In general, the zeros of a function f(x) appear on the graph of y = f(x) g(x) as a. x-intercepts b. holes c. vertical asymptotes d. local extreme points 8. The zeros of a function g(x) appear on the graph of y = g(x) as a. x-intercepts b. holes c. vertical asymptotes d. B or C 9. Given the cost function, C(), and the revenue function, R(n), for a company, the profit function is given by P() - C(m) - R() a) True b) false 10. Given the functions /(x) - 3x - 2 and g(x) = 5*, determine the value of Ag(1)). a. 5 b. 8 c. 13 d. 25