Precalc Semester 1 Final Exam Review
The items in this list may appear on the final. The topics are listed in the first section in which they appear or the section in which they receive the most focus. You are also responsible for the contents of the Math Notes boxes in each section we covered and the “Review” concepts in the homework.
Chapter 1
-1.1.1 Find the equation of a line given two points or given slope and a point
-1.1.2 Transform parent functions (translation, reflection, stretch/shrink)
-1.1.2 Exponent rules
-1.1.4 Transformations of non-parent functions (identify transformations from graphs or graph the transformation of a function)
-1.3.1 Area of a triangle using sine (solve for area, side lengths, or angles)
-1.3.1 Law of Sines (solve for side lengths or angles)
-1.3.1 Special right triangles (ratios of side lengths)
-1.3.2 Law of Cosines (solve for side lengths or angles)
-1.4.1 Angle measures in radians (converting from degrees to radians or radians to degrees)
-1.4.2 Special angles in the unit circle (in radians)
Chapter 2
-2.1.1 Piecewise functions (graphing, continuity, writing equation of)
-2.1.2 Periodicity of functions (identify period of function, shift function to right/left to make an equivalent function)
-2.2.1 Sigma notation (expanding sigma notation or writing the sum of numbers using sigma notation)
-2.3.1 Finding area under curve (units of area, splitting area into geometric figures to approximate area)
-2.3.2 Using right- and left-endpoint rectangles to approximate area, writing area approximation using sigma notation
-2.3.3 Evaluating negative area
Chapter 3
-3.1.1 Transformations of functions, now including horizontal stretch/shrink
-3.1.2 Finding the equation of an exponential function that passes through two points and/or models a scenario
-3.2.1 Inverse functions (switch and solve, graphing and restricting range)
-3.2.2 Logarithms (understand they are inverses of exponential functions, rewrite in log and exponential form
-3.2.3 Graphing logarithmic functions
-3.3.1 Log Laws (use to simplify or expand expressions)
-3.3.2 Solve exponential equations (using logarithms or by rewriting with same base)
Chapter 4
-4.1.1 Graph angles measuring in radians on the unit circle (including positive and negative angle measures)
-4.1.2 Sine and cosine in the unit circle (how are sine and cosine related to x- and y-coordinates, know coordinate pairs on the unit circle associated with special right triangles, in which quadrants are sine/cosine/tangent positive or negative, solve for all six trig ratios given a point or a ratio and a domain, understand tangent as the quotient of sine and cosine, the Fundamental Pythagorean Identity)
-4.1.3 Understand and be able to describe the relationship between the graphs of sine and cosine and the unit circle