5.1
5.2
5.3
5.4
Ms. K Fun Facts
100
(n3)6
n18
100
(a3b2-a2b3)/(ab)
a2b-ab2
100
Is this a polynomial in one variable?
If yes, what is the degree? What is the leading coefficient?
x-2+2x-3
No, it is not a polynomial in one variable because there is a negative exponent.
100
Using the consecutive integers of -2 through 2 for your x values, create a table of values for the function x3-4x2+3x+1
(-2,-29)
(-1,-7)
(0,1)
(1,1)
(2,-1)
100
Ms. K's favorite animal (besides dogs)
giraffes
200
(5x3y-5)(4xy3)
20x4/y2
200
CFL bulbs reduce energy waste. The amount of energy waste that is reduced each day in a certain community can be estimated by -b2+8b, where b is the number of bulbs. Divide by b to find the average amount of energy saved per CFL bulb.
-b+8
200
Is this a polynomial in one variable?
If yes, what is the degree? What is the leading coefficient?
x4+5x300-22x763
Yes
Degree: 763
L.C: -22
200
How many maxima?
How many minima?
How many zeros?
Max - 3
Min - 3
Zeros - 7
200
Ms. K's favorite candy
peach rings or circus peanuts (either one works)
300
3ab(4a-5b)+4b2(2a2+1)
12a2b+8a2b2-15ab2+4b2
300
Solve using any form of division:
(b3-4b2+b-2)/(b+1)
b2-5b+6-(8/b+1)
300
Describe the end behavior.
Odd or even degree?
Positive or negative leading coefficient?
Number of real zeros?
f(x) -> + infinity as x -> - infinity
f(x) -> + infinity as x -> + infinity
Even
Positive
4
300
Estimate the x-coordinate of every zero
Estimate the x-coordinate of any turning points
Determine the smallest possible degree
Zero: x=-1 and x=3
min: x=1
smallest degree: 2
300
Ms. K's favorite movie
Guardians of the Galaxy
400
(3z-2)3
27z3-54z2+36z-8
400
Solve using any form of division:
(x5+0x4-4x3+4x2 + 0x + 0)/(x-4)
x4+4x3+12x2+52x+208+(832/x-4)
400
Describe the end behavior of the function:
f(x) = 8x4+5x5
f(x) -> - infinity as x -> - infinity
f(x) -> + infinity as x -> + infinity
400
Sketch a graph of the following:
an even function with zeros at x=-3 and x=1, and a max at x=-1
400
Ms. K's sports that she played in high school
(4 of them)
volleyball, basketball, track, soccer
500
x-2(x4-3x3+x-1)
x2-3x+(1/x3)
500
(2b3-6b2+8b + 0)/(2b+2)
b2-4b+8-(8/b+1)
500
if c(x) = 2x2-4x+3,
find c(y2-1)
2y4-8y2+9
500
What is the fancy word that is used to describe maximum and minimum values of a function?
(it's not turning points)
extrema
500
Ms. K's wedding date
7/24/2021