Review Final You should bring your uID, a pencil, and an eraser with you to the exam. You will have 2 hours to take the exam. You will NOT be allowed to use a calculator, notes, textbook, or your neighbor. You must show all your work to receive credit full credit. The final is comprehensive and will cover sections 1.1-­‐1.8, 2.1-­‐2.5, 3.1-­‐3.7, 4.1-­‐4.6, and 5.1-­‐5.4. You should be able to… •
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Solve equations (linear, quadratic, higher degree polynomials, radical, rational, exponential, logarithmic). Translate a story into linear equation or inequality and solve. Calculate the slope of a line given 2 points. Write the equation of a line, (given: 2 points, the slope and a point, a parallel line and a point, a perpendicular line and a point). Solve linear systems of equations (substitution, elimination, augmented matrix, inverse matrix). Identify whether a relation is a function. Identify the domain of a function (absolute value, square root, linear, quadratic, higher degree polynomials, rational, exponential, logarithmic). Use function notation to evaluate a function (absolute value, square root, linear, quadratic, higher degree polynomials, rational, exponential, logarithmic, piece-­‐wise). Find the x-­‐intercept(s) and y-­‐intercept of a function (absolute value, square root, linear, quadratic, higher degree polynomials, rational, exponential, logarithmic). Identify the axis of symmetry, vertex, and concavity of a parabola. Identify the vertical asymptote(s), horizontal asymptote, x-­‐intercept(s), and y-­‐intercept of a rational function. Write a polynomial in standard form. Identify the degree and leading coefficient of a polynomial. Identify the end behavior of a polynomial. Sketch the graph of a piecewise function. Identify the vertical or horizontal shift, stretch/shrink, or reflection of a function. Use transformations to sketch the graph of a function (absolute value, square root, linear, quadratic, rational, exponential, logarithmic). Cost, Revenue, Profit problems Supply/Demand Problems Find the maximum or minimum of an objective function given constraints. Identify the size of a matrix. Matrix operations (transpose, addition, scalar multiplication and matrix multiplication). Add, subtract, multiply, and divide functions. Find the composition of two functions. Identify when a function has an inverse. Find the inverse of a function. Simplify exponential expressions. Evaluate a logarithmic expression using the properties of logarithms. Expand a logarithmic expression using the properties of logarithms. Condense a logarithmic expression using the properties of logarithms. Solve story problems involving logarithmic and exponential functions. Classify a sequence as arithmetic, geometric or neither. Find the nth term of an arithmetic or geometric sequence. Calculate the partial sum of an arithmetic or geometric sequence. Solve problems involving simple interest, periodic compounding interest and continuously compounding interest. Calculate Annual Percentage Yield (APY). Compare investment/savings options using APY. Calculate the Future Value of an ordinary annuity or an annuity due. Calculate the Present Value of an ordinary annuity or annuity due. Calculate how much to save/invest using a sinking fund. Calculate the Present Value of a deferred annuity. Practice Problems… p. 335 #1, 5-­‐7, 9, 10, 13, 15-­‐29, 32-­‐35, 37-­‐42, 45-­‐52, 53, 56, 58-­‐61 p. 85 #10, 20-­‐27, 29-­‐39, 44-­‐48, p. 141 #2, 6, 7, 11-­‐24 p. 213 #1-­‐10, 14, 18, 22, 28, 30, 31-­‐50 p. 275 #1-­‐7, 9-­‐12, 15, 17, 19-­‐31, 35-­‐39, 43-­‐54, 55, 58, 62 p. 331 #1-­‐4, 6, 8-­‐12, 14, 16, 18, 19-­‐21, 26-­‐28 Solutions have been posted for all of the quizzes. Solutions have been posted for the midterm.