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

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

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

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

Exam 4.1

Notebook Check NB Check will be on Wednesday!

Materials Check

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

Rational Functions Did you notice on the directions for PW 11-1 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

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)

Guiding question: How are rational functions simplified?

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

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!

Adding & Subtracting Rational Functions 4 + 2 = x + 3 x + 3 4x + 7 – 3x + 5 = 3x2 + 2x – 8 3x2 + 2x – 8 3 + 1 = 4x 8 7 + 3 = x + 4 x – 5

Adding & Subtracting Rational Functions TB pg 676 # 29 a – 4 . a + 3 a + 5

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

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

6 Functions of Algebra Radical Function

6 Functions of Algebra Radical Function

Radical Function Radical curve 6 Functions of Algebra Radical Function Radical curve

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

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

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