Download Exam 2 Study Guide - UNL Math Department

Math 101
Exam II Study Guide
Chapter 1, Sections 1.5 to 1.7
How do you…
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Find the relative maxima or minima of a function?
Determine where a function is increasing, decreasing, or constant using interval notation?
Evaluate and graph a function defined piecewise?
Add, subtract, multiply, or divide functions?
Use composition to evaluate or find new functions?
Find the domain of all types of functions?
Construct and simplify the difference quotient of a function?
Decompose a function as a composition of two basic functions?
Algebraically determine if a graph shows symmetry to either axis or the origin?
Find a point that is symmetric to a given point with respect to either axis or the origin?
Determine if a function is even, odd, or neither?
Determine the horizontal or vertical shifts and/or reflections of a function when
comparing it to its basic graph?
 Obtain a new function by shifting or reflecting a basic function?
Chapter 2, Sections 2.1 to 2.3 (through solving quadratic equations only)
How do you…
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Model a linear relationship with a linear equation or function notation?
Find zeros of linear functions?
Solve literal equations for one variable in terms of the others?
Simplify complex numbers?
Write the sum, difference, product, or quotient of complex numbers in the form a + bi?
Determine the complex conjugate?
Write i n (where n is a positive integer) in the form a + bi?
Determine the number of real or non-real roots of a quadratic equation?
Solve quadratic equations using completing the square?
Solve quadratic equations using factoring?
Solve quadratic equations using the quadratic formula?