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Solve the following quadratic equation by factoring. EOCT Review. x 2 - x - 72 = 0 . x = -9 or 9 b) x = -8 or 9 c) x = 36 or -2 d) x = -36 or 2. b. Solve the following quadratic equation by factoring. X 2 – 20x + 51 = 0. EOCT Review. b. x = -3 or -17 b) x = 3 or 17
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Solve the following quadratic equation by factoring. EOCT Review x2 - x - 72 = 0 • x = -9 or 9 b) x = -8 or 9 • c) x = 36 or -2 d) x = -36 or 2 b
Solve the following quadratic equation by factoring. X2 – 20x + 51 = 0 EOCT Review b • x = -3 or -17 b) x = 3 or 17 • c) X = 4 or 5 d) not factorable
EOCT Review • If Fred cannot swin, then he is not Kay's brother. • If Dave can swim, then he is not Kay's brother. • If Pete is Kay's brother, then he cannot swim. • If Mark is not Kay's brother, then he cannot swim. a
3.1 Even and Odd Functions (algebraically) A function is even if f(-x) = f(x) If you plug in -x and get the original function, then it’s even. A function is odd if f(-x) = -f(x) If you plug in -x and get the opposite function, then it’s odd.
Even, Odd or Neither? Ex. 1 Graphically Algebraically EVEN
Even, Odd or Neither? Ex. 2 Graphically Algebraically ODD
Ex. 3 Even, Odd or Neither? Graphically Algebraically EVEN
Ex. 4 Even, Odd or Neither? Graphically Algebraically Neither
Even, Odd or Neither? EVEN ODD
What do you notice about the graphs of even functions? Even functions are symmetric about the y-axis
What do you notice about the graphs of odd functions? Odd functions are symmetric about the origin
The 2 keys to sketching a graph of a polynomial are: f(x) = 6x4 + x3 – 12 Leading coefficient exponents Are they even or odd? (in front when in standard form!) Is it positive or negative?
End Behavior Exploration • Work with a person sitting next to you. • Complete the WS together EXCEPT blanks at the VERY bottom
End Behavior degree • If the __________ is even and the leading coefficient is _________, then • the left side of your graph goes _______ and the right side of your graph goes __________. positive up up degree • If the __________ is even and the leading coefficient is _________, then • the left side of your graph goes _______ and the right side of your graph goes __________. negative down down
End Behavior degree • If the __________ is odd and the leading coefficient is _________, then • the left side of your graph goes _______ and the right side of your graph goes __________. positive down up degree • If the __________ is odd and the leading coefficient is _________, then • the left side of your graph goes _______ and the right side of your graph goes __________. negative up down