To what degree?
Multiply
Even & Odd: Graphs and Coordinates
Even & Odd: Equations
Factor by grouping
100
Find the degree of x – x6 + x2 + x3 – x5
6
100
Simplify. 2w(w-7)
2w2 - 14w
100
A function that is even will have reflectional symmetry about the ______________ .
y-axis
100
Is the function even, odd, or neither?
y=x^2
Even
100
Factor. 12a3 − 9a2 + 4a − 3
(3a2 + 1)(4a − 3)
200
Find the degree of –d2 – d – 9d3
3
200
4n(3n2 + 6n - 9)
12n3 + 24n2 - 36n
200
Odd function; rotational symmetry about the origin
200
Is the function even, odd, or neither?
y=2x+7
Neither!
200
Factor. 3p3 - p2 - 6p + 2
(3p - 1)(p2 - 2)
300
3n2 - 4n + 8
2
300
(4x + 5)(x + 3)
4x2 + 17x + 15
300
Even; mirror image over the y-axis
300
Is the function even, odd, or neither?
y=x^3-3x
Odd function
300
Factor. 12n3 - 3n2 + 16n - 4
(4n - 1)(3n2 + 4)
400
4 – h5 – 3gh
5
400
(w + 2)2
w2 + 4w + 4
400
An even function passes through the coordinate point (8,12). What is another coordinate point that the function MUST pass through?
(-8,12); for even functions, the negative version of the same x-value will produce the SAME y-value.
400
Is the function even, odd, or neither?
y=4x-2x^3+3
Neither; f(1)=5, f(-1)=1
400
Factor: 12n3 + 4n2 + 3n + 1
(4n2 + 1)(3n + 1)
500
15r + 6
1
500
(b + 3)(b - 3)
b2 - 9
500
An odd function crosses through the coordinate point (2,3). What is another coordinate point that the graph MUST pass through?
(-2,-3); for odd functions, the negative of the same x-value produces the NEGATIVE of the same y-value.
500
f(x)=-2x+3
Neither!
500
Factor: 5n3 − 10n2 + 3n − 6
(5n2 + 3)(n − 2)