1. BELL-WORK
Have your HW out and ready to be checked!

2. HW 4.4(f) Solutions 2. q + 1 . 5q + 3 4. 1 . x – 1 6. 3 . b + 2
x – 1
b + 2
8.n + 3 n
10. 7(d2 + 2)
2(3d – 1)
12.11q + 1

3. HW 4.4(f) Solutions 3(2 – z) OR -3(z – 2) z(4 + 5z) z(5z + 4)
x(x – 9) .
(x + 7)(x – 6) w
(w + 5)(w – 2)
4. 3u2(u – 2) .
7u – 3
5. 3j(j + 14).
2(j – 2)

4. HW 4.4(f) Solutions 14. y – 6 . 3y + 19 15. 5j + 6 . 7 16. 8(j – 2) .
17. 12x + 13
5(x – 1)
18. (8k – 3)(6k – 1).
k – 11

5. Exam 4.1

6. Notebook Check
NB Check will be on Wednesday!

7. Materials Check

8. HW 4.4(g) Due tomorrow: PW 11-4 # 1-9(odd), 18-28(even)
**Check Website!!!

9. Rational Functions
Did you notice on the directions for PW it said “State any excluded values”?
In the expression x – 2, what would happen if x = 3?
x – 3
Therefore x = 3 is an excluded value in the function.
We would state the function as:
x – 2, x ≠ 3

10. Rational Functions
An excluded value in a rational function makes the function undefined.
State the excluded values in the rational functions:
7(d2 + 2)
2(3d – 1)
(b) 6x(x – 5) .
(x – 5)(x + 8)

11. Guiding question:
How are rational functions simplified?

12. Rational Functions To simplify rational functions first
factor the numerator,
then factor the denominator, and
then carry out operations as usual.

13. Adding & Subtracting Rational Functions
How do we add/subtract rational numbers with the same denominator?
Add the numerators and keep the denominator!
How do we add/subtract rational numbers with the different denominators?
Butterfly Method!

14. Adding & Subtracting Rational Functions=
x x + 3
4x – x =
3x2 + 2x – x2 + 2x – 8 =
4x 8 =
x x – 5

15. Adding & Subtracting Rational Functions
TB pg 676 # 29
a –
a a + 5

16. Who wants to answer the Guiding question?
How are rational functions simplified?

17. 6 Functions of Algebra Linear Function y = mx + b Straight line
Absolute Value Function
y = |x – a| + b
V-shaped
Exponential Function
y = abx
Exponential curve
Quadratic Function
y = Ax2 + Bx + C
Parabola

18. 6 Functions of Algebra
Radical Function

19. 6 Functions of Algebra
Radical Function

20. Radical Function Radical curve
6 Functions of Algebra
Radical Function
Radical curve

21. Radical Function Radical curve Rational Function
6 Functions of Algebra
Radical Function
Radical curve
Rational Function

22. Radical Function Radical curve Rational Function
6 Functions of Algebra
Radical Function
Radical curve
Rational Function

23. Radical Function Radical curve Rational Function Rational curves
6 Functions of Algebra
Radical Function
Radical curve
Rational Function
Rational curves