Download Notes 2.1 and 2.2 – Linear Equations and Function Date:______

Notes 2.1 and 2.2 – Linear Equations and Function
Algebra III/Trig. Honor
Date:________
Goal:
Recall:
 Equations of lines:
1.
2.
3.
4.
5.

Slope of a line
o Formula
o Conceptually

Parallel Lines

Perpendicular Lines
Examples:
1)
Find the slope intercept form of the equations of lines that pass through the point (2, -1)
and are (a) parallel and (b) perpendicular to the line 2x – 3y = 5
1
. A business is installing
12
a wheelchair ramp that rises 22 inches over a horizontal length of 24 feet. Is the ramp
steeper than recommended?
2)
The maximum recommended slope of a wheelchair ramp is
3)
A college purchased exercise equipment worth $12,000 for the new campus fitness
center. The equipment has a useful life of 8 years. The salvage value at the end of 8
years is $2,000. Write a linear equation that describes the book value of the equipment
each year.
Recall more…..
 Function

Ways to represent a function
1.
2.
3.
4.

Domain of a function

Function notation
A piecewise function:
 x 2  1, x  0
 f ( x)  
 x  1, x  0
4)
Evaluate f(1)
5)
Evaluate f(-3)
6)
Evaluate f(0)
f ( x  h)  f ( x )
h
2
Find the difference quotient for f(x) = 2x – 1
The difference quotient is defined to be
7)
HW: It is assumed that you can answer all types of problems from p. 169 #1- 80
p. 169 92, 95, 100, 103, 108
p. 182 6 – 10 even, 16, 22, 32, 40, 42, 52, 58, 66, 68