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# College Algebra Exam 2 Study Guide MAC1105

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This 5 page Study Guide was uploaded by Cassandra F. on Saturday October 8, 2016. The Study Guide belongs to MAC1105 at University of South Florida taught by Mr. Rothstein in Fall 2016. Since its upload, it has received 54 views. For similar materials see College Algebra in College Algebra at University of South Florida.

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Date Created: 10/08/16

Exam 2 Study Guide 1.6 • Know the following... • Finding the domain of functions This has division so exclude values of x that would make the denominator to be zero All three of these functions has a square root. The expression under the radical, x, must be nonnegative. This function has division, so the value that makes x-7 be equal to zero must be out of the domain. Find this value by making the denominator = 0 and solving for x. • Know the following... • Let f(x) = and g(x) = . Evaluate First put 1 in for the g equation Then put the -1 into the f equation 1.5 • Know how to describe transformations Shift four units up Shift 2 units down Shift 1 unit to the left Shift 2 units to the right Reﬂection in x-axis Reﬂection in y-axis • Know all the basic graphs of functions (square, square root, cube, a solute value) • Use transformations to graph a functions • When graphing functions, always make sure to start with the basic graph of the function before using the transformations • Write the function whose graph is and reﬂected about the x-axis 1.7 • Know how to use the horizontal line test to determine whether a function is one-to-one • Know how to ﬁnd the inverse of a function • Determine whether a pair of functions are inverses of each other (**when each function is evaluated and both have the same answers, they are inverses**) • Draw the graph of an inverse function (**the inverse reﬂects over the diagonal line y=x**) • Determine whether a function if one-to-one (**graph the function given and then use the horizontal line test**) • Find a formula for the inverse of f 1. Replace f(x) for y 2. Switch x and y 4. Replace y with • Find the inverse of a function and ﬁnd domain and range of function and its inverse 2.1 • Find the x-coordinates of the vertex of a parabola • Select the graph of a function and a quadratic function • Find the quadratic function given the vertex and passes through a point in standard form • Graphing functions • Determine whether the graph of a quadratic function opens up or down, ﬁnd the vertex, ﬁnd the axis of symmetry, ﬁnd the x and y intercepts, and graph it • Determine if quadratic function has a maximum or minimum value and ﬁnd the value • Find the solution of the inequality from the graph

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