Posted: December 3rd, 2015

college algebra

Graphing

Identify functions behavior as increasing, decreasing, or constant.

Solve problems involving a function’s zeros, maximum, or minimum values.

Solve problems using the quadratic formula.

Graph polynomial functions.

Graph rational functions.

Perform transformations on a given graph.

Find the distance between two points.

Find the midpoint of a segment.

Exponential and Logarithmic Functions

Identify types of symmetry and asymptotes, given a function and a graphing

calculator.

Solve exponential functions.

Solve logarithmic functions.

Identify graphs of exponential and logarithmic functions.

Convert between exponential and logarithmic forms.

Apply properties of logarithms.

Solve real-world applications using exponential and logarithmic functions.

Systems of Equations and Matrices

Solve systems of linear equations.

Distinguish between linear and nonlinear systems of equations.

Solve systems of nonlinear equations.

Use matrices to solve systems.

Perform operations on matrices.

Solve systems of linear inequalities with graphing.

Arithmetic Sequences and Sums

Solve recursion formula problems.

Solve factorial notation problems.

Find terms of an arithmetic sequence from the general term.

Find the general term given the terms of an arithmetic sequence.

Find the sum of the first n terms of an arithmetic sequence.

Geometric Sequences and Series

Find terms of a geometric sequence from the general term.

Find the general term given the terms of a geometric sequence.

Find the sum of the first n terms of a geometric sequence.

Solve application problems involving geometric series.

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