Review Midterm 2 You will have 50 minutes to take the exam, on March 29th. You will not be allowed to use a calculator (or other electronics), notes, textbook, or your neighbor. You must show your work to receive credit. Bring your student ID and a pencil. Scratch paper will be provided; scratch work will not be graded. The midterm will cover material from sections 3.1-­‐4.1. You should be able to… • • • • • • • • • • • • • • • • • • • • • • • Identify whether a relation is a function. Identify the domain of a function. Use function notation to evaluate a function. Cost, Revenue, Profit problems Supply/Demand Problems Solve quadratic equation (square root property, factoring, completing the square, or the quadratic formula). Write a quadratic equation in vertex form. Identify the axis of symmetry, vertex, concavity, max./min., the x-­‐intercept(s), and y-­‐ intercept of a parabola. Sketch the graph of a parabola. Write a polynomial in standard form. Identify the degree and leading coefficient of a polynomial. Identify the end behavior of a polynomial. Identify the zeros, x-­‐intercept(s), and y-­‐intercept of a polynomial. Sketch the graph of a polynomial. Sketch the graph of a piecewise function. Identify the domain, vertical asymptote(s), horizontal asymptote, x-­‐intercept(s), and y-­‐ intercept of a rational function. Sketch the graph of a rational 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, cubic,…). 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. Practice Problems… Chapter 3 Review (p. 215-­‐217) Chapter 4 Review (p. 277) #1-­‐8