FINAL Review You should bring your university ID, a pencil, and an eraser with you to the exam. You will have 2 hours (and 15 minutes) to take the exam. You will be allowed to use a scientific calculator (NOT a graphing calculator, financial calculator, cell phone calculator, or programmable calculator). You will be allowed to use one 4x6 index card with hand written notes on both sides. Make sure it is truly a 4x6 index card and not something that closely resembles a 4x6 index card. You will NOT be allowed to use your textbook or your neighbor. I will not be answering any questions during the exam. You must show all your work to receive credit full credit. Scratch paper will be provided; scratch work will not be graded. The final is comprehensive (Chapter 1 – Chapter 5). 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 & a point, a parallel line & a point, a perp. line & 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. Use function notation to evaluate a function. Find the x-­‐intercept(s) and y-­‐intercept of a function. 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. 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 cont. 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. Calculate Loan payments, Loan payoff, and amortization schedule. Practice Problems… Final Review (p. 339–345) Solutions have been posted for all of the quizzes and midterms.