3.3: Quadratic Functions & Their Properties
f(x) = ax2 + bx+ c
a, b, and c are real numbers; a at 0; Domain: (oo, 00)
When graphed, quadratics result in a PARABOLA!

_
The vertical line passing thro
1.2: Intercepts, Symmetry, & Graphing Equations
Finding Intercepts
' Find xintercepts by letting y = 0
Find yintercepts by letting x = 0
Ex #1: Find the xintercepts and yintercepts for y = x2 . 1
3.2: Linear Models (Scatter Plots)
Ex #1. (a)
a) Use a graphing utility to draw the scatter plot.
b) Determine whether the graphed data appears
to follow a linear pattern.
c) If the data appears line
1.2: (Day 2) More Symmetry & Graphing!
Test for Symmetry in an Equation
xaxis symmetry: replace y with y and check for equivalent equation
yaxis symmetry: replace x with x and check for equivalent eq
6.5: Graphs of Tangent and Cotangent
Z = tanx
domain: All real numbers, EXCEPT add 71
2
range: (oo, 00)
period: 7r
xintercepts: at whole values ofn
yintercepts: (0,0)
oddrc
2
vertical asym p
3.1: Linear Functions & Their Properties
f(x) = mx + b
m = slope; b = yintercept; Domain: (oo, 00)
Average Rate of Change: 2: = m
Ex #1:f(x) = 2x + 3 O3 34
a) slope? yintercept? III. I.
IIIIII I
3.4: Building Quadratic Models
Ex #1: The price (p) in dollars and the quantity (x) sold of a certain product obey the demand equation:
p = %x + 100.
a) Find a model that expresses revenue (R) as a fu
3.3: (Day 2) Vertex Form of a Quadratic
Ex #1: Determine whether the given quadratic function has a maximum value or minimum value. Then, find
the Value. 0,: 2 b, 1 c, O 5 a > O QM
_ _ = 2 _ o) 50 p a
7.1: Inverse Sine, Cosine, and Tangent
Inverse Sine
Inverse answers for sine will only be angles in: (QI 8: 5212
Positive: Q1;
Negative: Q g
Inverse Cosine
Inverse answers for cosine will only be an
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