Upcoming SlideShare
×

# Precalc review

5,660 views

Published on

0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total views
5,660
On SlideShare
0
From Embeds
0
Number of Embeds
4,983
Actions
Shares
0
1
0
Likes
0
Embeds 0
No embeds

No notes for slide

### Precalc review

1. 1. Polynomial
2. 2. • An expression or equation that is the sum of monomials •An expression or equation having many (poly) terms
3. 3. Rational Function
4. 4. • A function that is the ratio or division of two polynomials
5. 5. Asymptotes
6. 6. • Lines that graphs approach, but never touch
7. 7. Vertical Asymptote (VA)
8. 8. • Vertical line(s) that graphs approach, but never touch • After you factor a rat’l function and reduce, VA’s come from factors in the denominator that DO NOT reduce/cancel. •Set those factors = 0 and solve for x. x=that value(s) will be your VA
9. 9. Holes
10. 10. • Point(s) in graphs that are undefined. • After you factor a rat’l function and reduce, holes come from factors in the denominator that DO reduce/cancel. •Set those factors = 0 and solve for x. There will be a hole where x = that number.
11. 11. Horizontal Asymptote (HA)
12. 12. • HA’s are line(s) that graphs approach, but never touch • These lines show the end behavior of graphs on the left and right sides. •In a rational function, after reducing, if a denominator exists, there is a HA in 2 cases: 1. The denominator’s greatest exponent is > the numerator’s greatest exponent. In this case, the HA is always y=0 2. The denominator’s greatest exponent = the numerator’s greatest exponent. In this case, the HA is the ratio of the coefficients of your greatest terms.
13. 13. Slant Asymptote (SA) of Oblique Asymptotes
14. 14. • Slant line(s) that graphs approach, but never touch • These lines show the end behavior of graphs on the left and right sides. •In a rational function, after reducing, if a denominator exists, there is a SA if: -The numerator’s greatest exponent is exactly one more than the denominator’s greatest exponent. • To find the SA, do long division and ignore the remainder. Remember, it is a line so your answer should be in the form y=mx+b.