1. Given the functions x) = x2 + 1 and g(x) = 3 - x, determine an equation for the combined function y =x) + gx). a. y=x3x+2 b. y=x2+x+4 c.y=x3x+4 d. y=x2+x2 2. Iff= {('?, 1), (5, 8),(3, 11), (5,l)} andg= {(6, 4), (5, 3), (l, Tr"), (5, 5)}, what is y = f(x) + 90:)? a. {{l3, 5), (10, ll),(2,18),(10, 4)} c. {(5, 8), (5, 3), (5, l), (5, 5)} b. {(10, ll), (10, 4)} d. {(5, 11), (5, 4)} 3. If x) 2 cot x and g(x) = sin x, which of these statements is true? a. x)g(x) = cos x b. x)g(x) = cot x c. x)g(x) = csc x d. x)g(x) = tan x 1'03 4. The zeros of a function gt} appear on the graph of y = E as a. x-intercepts b. holes c. vertical asymptotes d. B or C 5. Given the function f (x) = x2 1, determine the value of M3. a. 64 b. 63 c. l 00 d. l 0 l 6. Given a lnction it) and g(x) = 31:}: - 1), how would the graph of y =f{x) compare to the graph of y = g'? a. vertically stretched and translated to the right b. horizontally compressed and translated to the left c. horizontally stretched and translated to the right d. horizontally compressed and translated to the right '1'. If x) = log 4): and g(x) = x2 2, which of these expressions is equivalent to (f g)(4)? a. log214 b. log216 2 c. log 4 + log 14 d. log 4 x log 14 8. If x) is an odd function and 3(1):) is an even function, then what type of function is y =x) + gx)? a. odd 13. even c. neither d. cannot be determined for sure 9. If x) and 300 are even functions, then what type of function is y =X) 300? a. odd b. even c. neither d. cannot be determined for sure 10. Given a function X} and 30:) = -x + 1, how would the graph of y =x} compare to the graph of y = gr? a. reected in the y-axis and translated to the right b reected in the x-axis and translated to the right c. reected in the x-axis and translated to the left d reected in the y-axis and translated to the left