Faaaaakkkke?!
Does Your Mother Know You Behave Like That?
We were All Rooting for You!
Piece of Pi
Irrational Decisions
100
What remainder lets you know that the divisor is a factor, root, solution, or x-intercept?
0
100
A polynomial with a positive leading coefficient and an odd degree shows what end behavior (draw the arrows).
first arrow should be down
second arrow should be up
100
A polynomial of degree n must have exactly this total number of roots (including real, complex, and repeated zeros)?
Ex. x^n+x^(n-1)+x^(n-2)+x^(n-3)+...+c
n
100
Evaluate (f@g)(-4)
ing?
4
100
What is the range of f(x)=1/x ?
Range: (-∞, 0) uu (0, ∞)
200
If you are dividing x^3-4x+5 by x-3 using synthetic division, this is the root value you put to the left of the box (your divisor).
3
200
If a real zero has an even multiplicity (like (x-2)^2 ), how does the graph behave at the x-axis? Draw an x and y axis and draw what it will do.
Should have a u that is bouncing off of the x -axis.
200
To list all the possible rational roots for f(x) = 2x^3-5x+3 , you test fractions of p/q what are factors of p and what are factors of q?
p: 1,3
q: 1,2
200
Describe the transformations applied to f(x)=x^2 to create g(x)=-(x+3)^2-5 ?
Reflect across the x-axis, shift left 3 units, and shift down 5 units
200
When you read f(-x)=-f(x) , what is it saying?
That the function has rotational symmetry at the origin, or the function is odd.
(-x, y) and (x, -y) or (-x, -y) and (x, y)
300
If you use synthetic division to divide x^4-5x^2+2 by x+1 , how would your dividend look in synthetic division?
1 0 5 2
300
For f(x)=-3x^4+2x^2-1 as x approaches infinity, f(x) behaves by heading to what value?
negative infinity
300
Do complex roots come in singles or pairs?
pairs
300
Given f(x)= 3x+2 and g(x) = x^2 + 9x-1 , write the equation for (f@g)(x) .
3x^2+27x-1
300
Write the equation of f(x)=|x| after a vertical stretch by a factor of 3, shift right 2 units, and shift up 1 unit.
g(x)=3|x-2|+1
400
When you perform synthetic division on 2x^3-3x^2+4x-5 divided by x-2 it yields a quotient of 2, 1, 6, 7. What does the depressed polynomial look like?
2x^2+x+6+7/(x-2)
400
What degree and leader would a function have is as xto-oo , ytooo and as xtooo , yto-oo .
odd degree and negative leader.
400
If I graph a polynomial with degree 4 and see that is has to 2 x-intercepts that are not repeated, How many imaginary roots can their be?
2
400
If the point (a, b) lies on the graph of f(x) , what point must lies on the graph of f^-1(x) ?
(b, a)
400
Given f(x)= 3x+2 and g(x) = x^2 -7 , write the equation for (g@f)(x) .
9x^2 +12x-3
500
What is the quotient of (x^3-6x^2+11x-6)/(x-3) ?
1x^2-3x+2
500
The graph of f(x)=(x+1)(x-3)^3 behaves differently at its roots: it crosses directly through x = -1, but displays this specific shape as it passes through x = 3?
A snake, a "S", it wiggles
500
The polynomial f(x)=x^4-16 has four distinct roots. What are all 4 roots.
2, -2, 2i, -2i
500
Determine whether f(x)=x^3+x^5-4x+6 is even, odd, or neither.
Neither
500
Find the domain of k(x)=(sqrt(x+5))/(x-2) ?
Domain: [-5, 2) uu (2, ∞)