Please solve the following questions and show all work:

1(B), 1(D), 2(B), 2(C), 2(D), 2(F),2(G), 3, 6(A), 6(B), 6(C), 6(E), 6(F), 9, 10, 11, 12, 13(C).

Questions attached below:

AP Pre-Calculus Name: Unit 1 Exam Redo problems Directions: Do the problems that you missed on the original exam (along with redoing the exam problems). Staple to the back of your exam and resubmit to earn up to half the points back (if correct answers and all work shown). You may use your notes, frien tes, friends, your teacher, the textbook, etc. Just make sure you understand the material. 1. Evaluate the following function at the indicated values: f(x) = 2x - 3 a. f(7) b. f (c ) c. f ( x + h ) d. Solve: f(x) = 11 2. Let h(x) = v2 - x and j(x) = x -2 a. What is the domain of h(x) in interval notation? wollot ed sswans b. What is the domain of j(x) in interval notation? c. What is the domain of " (x)? d. What is (j - h)(-7)? e. What is (h . j)(1) mumixam ovitel f. Find h(j(x)) i-(6)1 To ognado to asian sdi g. Find j(h(2)) Sgriesdoob () \\ to ognado to union sell one lavistai tadw no DICEM HTAM MATH Mfollowing . .wher indepence why of y - 1v3x+7 a Is the following a function one to one? Explain why or why not. ek(x) = (2x + 12rate of chante0 and Use the graph of f() marcus questions s(3) = ) - rival no a. On what intervals is f (x) increasing? b. On what intervals is f (x) decreasing? c. Give the ordered pair of a relative minimum. d. Give the ordered pair of a relative maximum. e. On what interval are the rates of change of f(x) increasing? f. On what interval are the rates of change of f(x) decreasing? MATH7. Solve the inequality and express the solution using interval notation. 4 + 2|x + 41 = 14 8. Is the following function even, odd, or neither? Show algebraically. f(x) = x3 - 1 9. Find f-1(x) of the following function: f(x) = 2x + 3 10. Sketch the graph of the piecewise function; state the domain in interval notation. -x+4, x r 12 l = x: r: 3 Taking the square root of both sides, and considering looth the positive and negative roots: 1'3} ED?" I'dll: v3 '43 So, the rate of change of x} is increasing on the intervals (WmEl\" (4E \"l 6f. On what interval the rate of change of f(x) decreasing? Consider the sign of the second derivative, f"(x), which represents the rate of change of f(x). f"(x) =12x2 -4 Now, let's analyze the sign of f"(x) and where the rate of change is decreasing, we need f"(x) - So, the rate of change of f(x) is decreasing on the intervals