Functions Review Sheet Answers
Let. Find each value or expression.
1.
_
2.
_
3.
_
4.
_
5.
_
6.
_
For each pair of functions, graph f and g on the same set of axes. Then use your graphs to find the graph of .
7.
8.
4
4
2
2
-5
5
-5
5
-2
-2
-4
-4
For each pa
PRECALC I SECTION 8.5 PRACTICE PROBLEMS
1.
1
1
1
1
.
.
12 23 34
n n 1
a. Find the first 4 partial sums
2.
b. Find the limit of the sums
1
1
1
1
.
.
13 35 5 7
2n 1 2n 1
a. Find the first 4 partial sums
b. Find the limit of the sums
3. Find the sum o
PRACTICE PROBLEMS
1.
b1 4
for all integers n>1
bn bn 1 7
a. give the values for the first five terms _
b. give the explicit formula _
c. identify as arithmetic, geometric or neither _
d. give the value of the 30th term, using the formula _
e. find the sum
Ch. 9 Test Study Guide Answers
1. Let y = -2x2 + 20x 42
a. Sketch a graph of the function over the interval 0 < x < 10, -5 < y < 10.
b. What are the values of the zeros?
c. On what interval is the function positive?
d. On what intervals is the function ne
The Line of Best Fit Notes
LINE OF BEST FIT = REGRESSION LINE
Yesterday, we looked at observed values the data collected from sources such as
experiments or surveys
Ex. Height of boys versus their ages
We then used our regression line to find predicted/ex
PRACTICE PROBLEMS
1.
b1 4
bn bn 1 7
for all integers n>1
a. give the values for the first five terms
_
b. give the explicit formula _
c. identify as arithmetic, geometric or neither _
d. give the value of the 30th term, using the formula _
e. find the sum
Quartiles and Boxplots Notes
So far, we can analyze data using mean, median, mode, and range. Unfortunately, we dont have
any visual representations to represent data with large ranges or too many data values. (See
example on Page 29 in book) Quartiles he
PEECALULUS it
Final Exam Review
Nonncaieulatcr exercises
A. ANSWER EACH OF THE GIVEN QUESTIONS.
1. Use the given box plot to answer each of the indicated questions:
Winning Super Bowl Scores 1967 2012
lo :2 m #6 H 3.0 :2. fix w in (=0
a e:
(a) Whatwiehg
EXPONENTIAL MODELS Guided Notes
What does a represent in an exponential function: _initial/starting value_
What does b represent in an exponential function: _growth factor_
Recall: When a > 0 and b > 1, then _exponential growth_
When a > 0 and 0 < b < 1,
Chapter 8 Cumulative Review
1. Which is the median of the data set 4, 12, 10, 9, 8?
a. 8
b. 8.5
c. 9
d. 10
b.
c. 1
d. 0
2. Evaluate ln 1.
a. e
3. Which of the following graphs shows the strongest negative correlation?
4. Which of the following graphs woul
Tangent of an Angle Notes
Geometry (CP)
Writing sides and angles:
Angle names are written with capital letters, sides opposite the angles are named with
small letters.
A
b
C
c
a
B
In two similar right triangles, the ratio of sides are equal (In two simila
Geometry - Topics for Final Exam, 2014
Chapter 7: Triangle lnegualities
Exterior Angle Theorem
inequalities within a triangle
Triangle inequality Theorem
Chapter 8: Quadrilaterals
Identify a quadrilateral and its parts
Sum of the angles of a quadrilateral
Proportions Notes
Geometry (CP)
Ratio: is the quotient of two numbers
Compare two quantities with the same units
Ratios have no units
a
or a : b tells you the ratio of a to b.
b
Rate: compares two quantities with different units (such as 55 miles / 1 ho
Quadrilaterals vs. Triangles Quiz Notes
Angles of quadrilaterals can change, even when the side lengths remain the same
Triangles are rigid once the side lengths are chosen
THEOREM
If 2 angles of one triangle are congruent to 2 angles of another triangle,
NAIviE: - ' . .' Mods: -
Geometry (CP) ReView_ .l-t7 _' '"
I. To use the SSS Triangle Congruence Theorem to prove aDEF gaMNO, you must
showthat Es - ,- g , FE .
,3 ' 1.
2. To use the SAS Triangle Congruence Theorem for :
ll?
you could Show that AY E
10-3: Fundamental Properties of Volume
Geometry (CP)
Volume measures how much a figure will hold - its capacity.
Volume is measures in units3 - a cube whose sides are all 1 unit in length (they
may all be 1 inch in length, which is a cubic inch.)
Think of
10-1: Surface Areas of Prisms & Cylinders
Geometry (CP)
2D
3D
What is it?
Perimeter
Surface Area
a measure of a boundary
Area
Volume
measures the space enclosed by the boundary
surface area (S.A.) tells you how much material you need to make an object.
Fi
Ch 3 Cumulative Review
1.
In the space below, draw a pair of adjacent supplementary angles.
In 2 and 3, use the figure to the right.
2.
If m POT = 149, then mSOR = _
3.
Suppose that m TOR = (11k + 1) and mPOS = k + 26.
a. k = _
b. mTOR = _
c. mPOT = _
4.
10-8 & 10-9: Volume & SA of a Sphere
Volume of a sphere with radius r:
Geometry (CP)
4
V Bh . A sphere has no base, so we replace the B
3
4 2
with the area of a circle and get V r h . But in a sphere, its height is also its radius.
3
V 4 r3
3
Surface Area
10-5: Volumes of Prisms & Cylinders
V = Bh
Geometry (CP)
where B is the area of the base.
Consider a box. You know v lwh . But lw is the area of the base, called B. So the
same formula applies to prisms (including boxes) and to cylinders (anything with 2