# Math Midterm

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1. horizontal asymptote
• bottom heavy y=0
• eaual y- top divided by bottom - so x2/x2 then y=1
• 2x2/x2 then y=2
2. verticle asymptot
• cannot be crossed
• let the numerator equal 0
3. point discontinuity
a hole in the graph occurs when x=a gives 0/0
4. slant asymptoe
• top heavy
• divide numerator by denominator
5. odd function
• symmetry with respect to the origin
• test if f(-x)=-f(x) the f(x) is odd
6. symmetry tests
• x axis- make y negative and see if it equals out to the original
• y axis- make x negative and see if it equals out to the original
• origin- make both x and y negative and see if it equals out to the original
7. points always on the graph of y=ax
(0,1) (1,a) (-1,a)
8. points always on the graph of y=loga(x)
(1,0) (a,1) (1/a, -1)
9. how to find vertex
is the x value and insert this for x to get y
10. completing the square
y=2x2+4x-c
• 2x2+4x -c
• 2(x2+2x )-7
• insert half of middle term
• 2(x2+2x+1 )-7
• take it out at the end
• 2(x2+2x+1 )-7 -1
• y=a(x-h)2+k
• y=2(x+1)2-8
11. i1
i2
i3
i 4
• i
• -1
• -i
• 1
12. loga1=
0
13. logaa=
1
 Author: Kimmiey ID: 130890 Card Set: Math Midterm Updated: 2012-01-27 01:28:08 Tags: trig functions Folders: Description: math Show Answers: