Even, Odd, OR Neither
Composition
Multiplicity
Long & Synthetic Division
WWK
100
A function is "odd" when:
−f(x) = f(−x) for all x
100
Find (f+g) (x) if f(x)=6x+1 and g(x)=2x^2+5
What is 2x^2+6x+6 [6x+1+2x^2+5]
100
If the degree is odd, the graph crosses the ___
What is x-axis
100
Which method of division divides polynomials with a degree of one?
What is Synthetic Division
100
What WWK means the longest side of a triangle of a triangle locaated across from the right angle?
What is Hypotenuse
200
How is "Even" is graphed
What is symmetrically on the y-axis
200
Find (f∘g)(x) for f(x)=4x and g(x)=x+4.
What is (f∘g)(x)=4x+16 (f∘g)(x)=f(x+4) =4(x+4) =4x+16 (f∘g)(x)=4x+16.
200
If the graph touches the x-axis then it is
What is the degree is even
200
When do you use long division?
What is used to divide polynomials by other polynomials in order to find factors, zeros, solutions, or intercepts.
200
What WWK means a list of all the candidates for zero's based on the leading coefficient and constant.
What is possible zero
300
Is f(x)f(x) even, odd, or neither? f(x) = -2x^3f(x)=−2x^3 ​​
What is Odd?
300
Find (g∘f)(x) if f(x)=x^2+6x and g(x)=x−1
What is f(x−1)=x2+4x−5 f(x−1)=(x−1)2+6(x−1) f(x−1)=x^2−2x+1+6x−6 f(x−1)=x^2+4x+1−6 f(x−1)=x^2+4x−5
300
Find the zeros and use their multiplicity to describe the graph. f(x)= (x+8)^2 (x+4) (x-1)^3
What is (x+8)=0 (x+4) (x-1) x=-8 x=-4 x=1 touches @-8 crosses @-4 crosses @1
300
Divide. x^4-10x^2-2x+4 by x+3
What is 1x^3-3x^2-1x+1+1\x+3
300
What WWK means horizontal length of one complete repetition or cycle?
What is Geomertic
400
Determine algebraically whether f(x) = –3x2 + 4 is even, odd, or neither.
What is Even f(–x) = –3(–x)2 + 4 = –3(x2) + 4 = –3x2 + 4
400
Find (f∘g)(x) if f(x)=6x and g(x)=2x+6
What is = (f∘g)(x)=12x+36. (f∘g)(x)=f(2x+6) =6(2x+6) =12x+36 (f∘g)(x)=12x+36.
400
Find the zeros and use their multiplicity to describe the graph. x(x-11)^4 (x+8)^3 (x-2)^2 (x-4)^2
What is x=0 X=0/ crosses @0 (x-11)=0 X=11/ touches @ 11 (x+8)=0 X=-8/ touches @ -8 (x-2)=0 X=2/ crosses @ 2 (x-4)=0 X=4/ touches @4
400
Divide. 8x^3 -1 by 2x-1
What is 4x^2+2x+1
400
What WWK means a horizontal length of one complete repetition of cycle?
What is period
500
Determine algebraically whether f(x) = 2x3 – 3x2 – 4x + 4 is even, odd, or neither.
What is Neither f(–x) = 2(–x)3 – 3(–x)2 – 4(–x) + 4 = 2(–x3) – 3(x2) + 4x + 4 = –2x3 –3x2 + 4x + 4
500
Find (f ° g)(x) if f(x) = 3x2 + 12x – 1 and g(x) = 4x + 1
What is = 12x2 + 48x – 3 (f ° g)(x)= 3(4x + 1)2 + 12(4x + 1) – 1 = 3(16x2 + 8x + 1) + 48x + 12 – 1 = 48x2 + 72x + 14 1(g ° f)(x) = 4(3x2 + 12x – 1) + 1 = 12x2 + 48x – 4 + 1 = 12x2 + 48x – 3
500
Find the zeros and use their multiplicity to describe the graph. f(x)=(x-2)^2 (x-4)^2(x+8)^2 (x+4) (x-1)^3
What is (x-2)=0 X=2 crosses @ 2 (x-4)=0 X=4 touches @4 (x+8)=0 (x+4) (x-1) x=-8 x=-4 x=1 touches @-8 crosses @-4 crosses @1
500
Divide. -2+3x-5x^2+4x^3+2x^4 by 2x-3
What is 2x^2+1+ (x+1/x^2+2-3)
500
What WWK means a pattern occurring in ocean, light, and sound waves and the sin/cosin function?
What is oscuillation
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