Class Notes:
1/27/00
2/1/00    2/3/00
2/8/00    2/10/00
2/15/00

### 1/27

1. Simplify
a.) 3 + 4 · 5
b.) 4/0
c.) 5^0 + 5^1
2. Compute the distance between:
a.) (4,6) and (2,8)
3. Compute the slope of the line containing:
a.) (4,6) and (2,8)

### 2/1

1. Graph on my graph paper:
a.) y=(-2/3)x+4
b.) y=x² - 2
c.) y=(x-1)(x+3)
d.) 4x+8y=12
2. Compute the distance between:
a.) (1,2) and (-3,5)
b.) (2,4) and (2,-3)
c.) (-2,1) and (-2,3)
d.) (a,b) and (c,d)
3. Compute the slope of the line containing:
a.) (1,2) and (-3,5)
b.) (2,4) and (2,-3)
c.) (-2,1) and (-2,3)
d.) (a,b) and (c,d)
We discussed
slope
graphing by point plotting

### 2/3

1. State the equation of the line containing:
a.) (4,5) (6,-2)
b.) (4,5) (4,7)
c.) (4,5) (7,5)
2. Graph on ONE plane of yesterday's paper
each of the lines in question 1
3. Graph y=(x+1)²
4. Evaluate when f(x) = (x+1)²
a.) f(3)
b.) f(-1)
c.) f(a)
d.) f(x - h)
We discussed
• the slope-intercept, the point-slope, and one other equation for a line
• graphing on the calculator
• adjusting the calculator graph by ZOOM and WINDOW
• using TABLESET and TABLE

### 2/8

I. On the tiny paper graph
1.) y = 4x + 3 then show it to the prof.
2.) 3x + 4y = 12
3.) y = (x-2)² +4
4.) domain & range of each of the above.
II. State the domain & range of the graphed function.
IV. Graph in the 2nd quadrant of the 4-plane per page paper 5, 6, & 7.
5.) y = x²
6.) y = (x + 3)²
7.) y = (x - 2)²
V. Graph in the 1st quadrant of the 4-plane per page paper 8 & 9.
8.)
9.)
VI. Graph in the 3rd quadrant of the 4-plane per page paper 10 & 11.
10.)
11.)
VII. Graph in the 4th quadrant of the 4-plane per page paper 12, 13, & 14.
12.)
13.)
14.)

### 2/10

1. On a clean coordinate plane, graph the reciprocal function.
State its domain & range.
2. In the book, do:
pg100, #52, #58, #74
On your calculator display the graph of #74.
pg112, #35
3. Clear you desk of everything including notes, calculator, and pencil.
4. Graph by using the toys/ manipulatives:
1.) y = x²
2.) y = 1/x²
3.)
4.) the identity function
5.) y = x² + 2
6.) y = x² + 4
7.) y = - x²
8.) y = - x² + 5
9.) y = (x + 2)²
10.) y = 1/x
5. Put the manipulative in the pockets. Get out your notes.
6. In your notes, sketch the graph of each of the functions listed.
7. Homework: chapter 1 section 3.

### 2/15

I. Sketch vs Graph
graph, an accurate detailed stylized portrait
Sketch, a cartoon illustrating important features
II. Sketch and state domain & range.
1. y = x²
2. identity function.
3. reciprocal function.
4. square root function.
5. y = x² + 2
6. y = (x + 2)²
7.
7a. Hint: Use a step by step
strategy to create the sketch.
In order, sketch:
III. Given f(x) = x² + 2 and , state:
8. f(4)
9. g(4)
10. f(g(4))
11. f(g(m))
IV. Expand:
12. (a + b)²
13. (2 + y²)²
14.
VI. Consider and entering a root on your calculator.
VII. pg 114, #82
VIII. Homework: see course outline
IX. NEXT CLASS: Quiz on basic functions.

8. f(4)=18; 9. g(4)=0; 10. f(g(4))=2; 11.

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