Insert figure 7.21
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Calculus for Business, Economics.
Definition 1.1. A function is a correspondence between two sets of
elements such that to each element in the first set, there corresponds
one and only one elemenent in the second set.
The first set is called d
1.6. Exponential Functions.
Definition 1.12. The equation
f (x) = bx , b > 0, b 6= 1
is called an exponential function with base b.
The domain of f (x) = bx is all the real numbers and range is all the
positive real numbers.
Theorem 1.13. Basic properti
2.3. Continuity. A function f (x) is continuous at the point x = c if
1) limx!c f (x) exists,
2) f (x) exists,
3) limx!c f (x) = f (c).
f (x) is continuous over (a, b) if f (x) is continuous at every point of
Example 2.8. Determine if f (x) is
2.1. Definition of Limits.
Definition 2.1. If the value of f (x) is closed to the single real number
L, whenever x is closed but not equal to c, we say L is the limit of f (x)
as x approaches c, denoted as
lim f (x) = L
f (x) ! L
Chapter 8 Vectors Review:
Topics: identify vector quantities (p.482), represent a vector geometrically (p.483), find the resultant of two
vectors (p. 434), operations with vectors (p.485), rectangular components of vectors (p. 487), express a vector in
Pre Calculus 11.7 Review
1. A sports writer has already determined that there is a negative correlation between the batting average and the
number of home runs for third basemen whose statistics are shown in the table.
a. Find the correlation coefficient.
ONE VARIABLE DATA
Open a list/spreadsheet.
Name the list
Enter the data into the list
Having one data point highlighted, push:
8 Summary Plot
X list (choose your data name); Summary list, choose your
Chapter 7: Conic Sections
Topics: Parabolas, Ellipses, Circles & Hyperbolas. Be able to identify all key parts of each conic, vertex,
focus, directrix, axis of symmetry, center, foci, vertices, co-vertices, major axis, minor axis, transverse
Chapter 5: Trigonometric Identities and Equations
Topics: Identify and use basic trigonometric identities: reciprocal, quotient, and Pythagorean, cofunction
and odd-even identities. Simplify and rewrite trig expressions. Verify trig identities by combinin
Pre Calculus - 11.7 day 2 homework supplemental problems
You will do the following for problems 2, in the book on page 720 and the two below. Disregard their
a. In your graphing calculator make a scatter plot of the data, and identify the re
Name: Shape Chosen:
Shape cut with no errors
Shape cut with a few stray cuts
Shape not recognizable
Lines of Symmetry
All lines of symmetry present and accurate
At least one line of symmetry present and accurate
Name: Number: Date:
Outdoor Symmetry Checklist
5 different symmetrical objects found in nature
1. 2. 3. 4. 5.
3 different symmetrical parts of the school building
1. 2. 3.
1 symmetrical object you think nobody else would notice