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.
- Show the prof your work.
- 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.
- (see the answers)
- V. Vocabulary:
argument &
radicand.
- 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.
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