Transcript Notes: Standard 4.1 Lesson 2

Topics:
1. Be able to writes equations of Linear Functions from numerical representations.
2. Be able to writes equations of Absolute Value Functions from numerical
representations.
3. Be able to writes equations of Quadratic Functions from numerical
representations.
4. Be able to writes equations of Exponential Functions from numerical
representations.
We learned how to write equations from graphs in standard 3.3!!!!!
Review: Write the equation from the given graph
Point: (-3, 1)
Rate: R.O.C. is a constant of -2/3
until (-3, 1) then it’s a
constant rate of +2/3
Equation:
2
y  x  3 1
3
What do we need to know to write the equation of an Absolute Value?
Example 1: Write the equation of the function from the following table
X
Y
Point: (2, 1)
1
-2
2
1
3
-2
Rate: R.O.C. is a constant of +3
until (2, 1) then it’s a
constant rate of -3
4
-5
Equation:
5
-8
y  3 x  2  1
Example 2: Write the equation of the function from the following table
X
Y
Point: (-4, -7)
-13
-1
-10
-3
-7
-5
Rate: R.O.C. is a constant of -2/3
until (-4, -7) then it’s a
constant rate of +2/3
-4
-7
Equation:
-1
-5
2
y  x4 7
3
Example 3: Write the equation of the function from the following table
X
Y
Point: (0, 3)
-8
1
-4
2
0
3
Rate: R.O.C. is a constant of +1/4
until (0, 3) then it’s a
constant rate of -1/4
4
2
Equation:
8
1
1
y   x 3
4
Example 4: Write the equation of the function from the following table
X
Y
Point: (4, 0)
3
7
4
0
5
7
Rate: R.O.C. is a constant of -7
until (4, 0) then it’s a
constant rate of +7
6
14
Equation:
7
21
y  7 x4