And then we have this final exam thing coming up! Study, study, study! Come in prepared to do well! Congrats to John, Stephen, and Taylor H. on being exempt! Enjoy your day off!
Remember, your best tools to study are:
1.) The stamp problems we've had each day in class! This covers lots of what's on the open ended section!
2.) Your final exam review packet! Answers are below!
3.) The section/chapter number of each topic is in parentheses--use the interactive textbook link on the right to find practice problems and explanations for every chapter!
Here are the answers to your final exam review packet:
And here is an outline of what's on the exam, by section:
·
The exam is two sections:
o
50 Multiple Choice (50%) – graphing calculator
used throughout
o
20-25 Open Ended (50%) – no graphing calculator
·
Here is a breakdown of the topics covered on the
multiple choice portion of the exam (the chapter number is in parentheses)
o
Find the slope of a line given two points (1.1)
o
Write the equation of a line given a point,
slope (1.1)
o
Find the equation of a line
parallel/perpendicular to a given line and through a given point (1.1)
o
Determine if two lines are parallel,
perpendicular, or neither (1.1)
o
Determine if ordered pairs represent a function
(1.2)
o
Evaluate a function for a given x-value
o
Find the domain of a radical (square root)
function (1.2/1.3)
o
Find the domain and range of a function
(1.2/1.3)
o
Identify intervals where a function is
increasing, decreasing, constant (1.3)
o
Identify a type of function by its graph/shape
(1.4)
o
Sketch a graph of a function based on
shifts/reflections (1.4)
o
Write the equation of a function given
shifts/reflections or its graph (1.4)
o
Find/evaluate compositions of functions (1.5)
o
Find the inverse of a function given coordinate
pairs (1.6)
o
Find the inverse of a function given its
equation (1.6)
o
Use the horizontal line test to determine if a
function has an inverse (1.6)
o
Graph quadratic functions (2.1)
o
Find the maximum/minimum values of a quadratic
(2.1)
o
Find the x and y-intercepts of a quadratic (2.1)
o
Determine the end behavior of polynomial
functions (2.2)
o
Sketch the graph of a polynomial function using
multiplicity of zeros, y-intercept, end behavior, and additional points (2.2)
o
Use long or synthetic division to divide
polynomials (2.3)
o
Factor a polynomial (completely) given one of
its factors (2.3)
o
Find all zeros (real and complex) of a function
using repeated synthetic division (2.5)
o
Use the rational zero test to find possible
zeros of a function (2.3/2.5)
o
Write complex numbers in standard form (2.4)
o
Evaluate powers of i (2.4)
o
Add/subtract/multiply/divide complex numbers
(2.4)
o
Find all zeros of a function by factoring (or
repeated synthetic) (2.5)
o
Determine the domain of a rational function
(2.7/2.8)
o
Identify asymptotes (vertical and horizontal) of
a rational function (2.7/2.8)
o
Find x and y-intercepts of a rational function (2.7/2.8)
o
Graph rational functions (2.7/2.8)
o
Find the balance in an account for compounded
interest (3.1)
o
Find the balance for continuously compounded
interest (3.1)
o
Graph logarithmic/exponential functions based on
shifts/reflections (3.1/3.2)
o
Evaluate logarithms based on understanding
exponential form (3.2)
o
Solve systems of equations with
elimination/substitution (7.1/7.2)
o
Write an solve a system of equations: “word
problems” (7.1/7.2)
o
Use back substitution to solve a system in 3
variables (7.3)
o
Solve a system in 3 variables using matrices
(7.4)
o
Determine the order of a matrix (7.5)
o
Perform row operations with matrices (7.4)
o
Add/subtract/multiply matrices (7.5)
o
Find the inverse of a matrix (7.6)
o
Find the determinant of a 2x2 matrix (7.7)
·
And here’s what’s covered on the open-ended
section:
o
Use long or synthetic division to divide
polynomials (2.3)
o
Add/subtract/multiply/divide functions (1.2)
o
Add/subtract/multiply/divide complex numbers
(2.4)
o
Factor a polynomial (completely) given one of
its factors (2.3)
o
Find all zeros of a function by factoring (2.5)
o
Identify asymptotes (vertical and horizontal) of
a rational function (2.7)
o
Find x and y-intercepts of a rational function
(2.7)
o
Graph rational functions (2.7)
o
Graph quadratic functions (2.1)
o
Find the maximum/minimum values(vertex) of a
quadratic (2.1)
o
Find the x and y-intercepts of a quadratic (2.1)
o
Evaluate logarithms based on understanding
exponential form (3.2)
o
Find the balance in an account for compounded
interest (3.1)
o
Find the balance for continuously compounded
interest (3.1)
o
Determine the end behavior of polynomial
functions (2.2)
o
Sketch the graph of a polynomial function using
multiplicity of zeros, y-intercept, end behavior, and additional points (2.2)
o
Find the domain and range of a function
(1.2/1.3)
o
Identify intervals where a function is
increasing, decreasing, constant (1.3)
o
Write the equation of a function given
shifts/reflections or its graph (1.4)
o
Find the inverse of a function given its
equation (1.6)
o
Find the coordinates of a point of discontinuity
(hole) in a rational function (2.7/2.8)
o
Evaluate logarithmic expressions (3.2)
o
Evaluate exponential expressions (3.1)
o
Simplify/evaluate powers of i (2.4)
