Chapter 9 Notes
Section 9.1 Circles and Parabolas
Conic sections are derived from: Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0
2
2
The equation of circle with center ( h, k ) and radius r is ( x h ) + ( y k ) = r 2
1. Find the equation of the line tangent to the
1
Chapter 7 Notes
Linear Systems and Matrices
Section 7.1 Solving Systems of Equations
1. Solve each system. Clearly show the steps taken to arrive at a solution.
1 1 1
xy = 3
x 2 + 4y 2 = 4
2+ 2=
x
y
2
(a)
(b) 2
(c) 2
2
x + y 2 ) = 32xy
(
y + x = 2
Chapter 8 Notes
8.1 Introduction to Sequences and Series
A sequence is a set of numbers, for example: 2, 4, 6, 8, 10,.
A series is adding the terms of a sequence, for example: 2 + 4 + 6 + 8 + 10 +
1. Find the first, the second, and the 10th term for the s
1
Chapter 3 Exponential and Logarithmic Functions
3.1 Exponential Functions and Their Graphs
1. Graph the following functions. In each case find the equation of any asymptotes and the y intercept.
1
(a) y =
2
1x
+2
x
(b) y = 32 3
x
1
2. By making a ta
Chapter 4 Trigonometric Functions
4.1Radian and Degree Measure
1. Label every point on the unit circle with a radian and a degree measure. Use the fact that 2 = 360 . Each
radian measure should also be given as a decimal to the nearest hundredth.
2. Graph
Chapter 5 Notes
5.1 Using Fundamental Identities
1. Simplify each expression to its lowest terms. Write the answer to part (b) as the product of factors.
(a)
sin x csc x
cot x
(b) (1+ sin + cos )
2
2. Evaluate: (a) x 2 x 2 + 81 , where x = 9 tan
3. Verif
11.3 Continued
1. Find the derivatives of all six trigonometric functions.
Ex.
d
d ! 1 $ ( cos x ) ( 0 ) 1(sin x ) sin x 1
=
= sec x tan x
&=
(sec x ) = #
dx
dx " cos x %
cos 2 x
cos x cos x
2. Find the derivative of the following expressions.
(a) y =
x
1
1
Chapter 6 Additional Topics in Trigonometry
Section 6.1 Law of Sines
1. Derive the Law of Sines for AAS, ASS, ASA .
2. In triangle ABC sin A =
1
2
, a = 6 , and sin B = find b and cos A .
4
3
3. Solve each triangle.
(a) Triangle PQR, P = 64, p = 32, and
1
Chapter 1 Functions and Their Graphs
1.1 Lines in the Plane
1. Find the x intercept of line l .
2. Find the distance between the lines x + y 3 = 0 and x + y 5 = 0 .
3. Factor each expression.
(a) 1 100a 2
(d) x 4 27x
(b) 20x 2 + 9x 18
(e) 6x 5 21x 3 12x
1
Chapter 2 Polynomial and Rational Functions
2.1 Quadratic Functions
1. Given is the graph of f ( x ) = x 2 + 2x 3 .
(a) Find the x intercepts of f ( x ) = x 2 + 2x 3 . Show work.
( )
(b) Let g ( x ) = f x . Determine, whether g ( x ) is even, odd, or
ne
Pre-Calculus Honors: Chapter 1 (Practice Test)
Pre-Calculus Honors: Chapter 1 (Practice Test)
1.
f x 3 x 3 x 2 5
10. Given h x x 4 3 4
A) State the common function
B) State ALL transformations (H. Shift, V.
Shift, Relections, V. Stretch/Shrink)
f 7 ?
6 x