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AP Calculus BC _________________ Welcome to Calculus! Name: 8-12-15 Solve: 1. x 2 2x 2. 3x 2 15x 3. 4 e 2x 4. log(x 3) 2 5. (x y)2 6. (x 2y)4 7. Find an equation of the line that passes through (3, 5) and (-4, 7). 8. Given the graph below write an equation to model the graph. Write the equation in factored form. Expand. 9. Which of the following defines a function ƒ for which ƒ(–x) = – ƒ(x)? (A) f (x) x 2 (D) (B) f (x) log(x) f (x) sin(x) (E) (C) f (x) e x f (x) cos(x) 10. ln(x 2) 0 if and only if: (A) x<3 (B) (D) 11. x>2 (E) (C) 2<x<3 x>3 If p(x) (x 2)(x k) and if the remainder is 12 when p(x) is divided by x – 1, then k = (A) 2 (B) (D) 12. 0<x<3 3 11 (C) (E) 13 If f (x) 4 and g(x) 2x , then the solution set of f (g(x)) g(f (x)) is x 1 (A) 1 3 (B) (D) – 1 and 2 2 (C) (E) 6 1 and 2 3 3