Investigating Graphs
Which function(s) are polynomials?
a. g(x) = √x + 5
b. f(x) = 3x^4
c. y = |x|
b
What is the degree and end behavior of y = x + 2?
Degree : 1
Extends from quadrant 3 to 1
Determine each quotient, Q, using long division.
327 divided by 12
27
Determine each quotient, Q, using synthetic division.
2x^3 + 3x^2 - 4x + 15 by x + 3.
2x^2 - 3x + 5
What number doesn't have its own Roman numeral?
0
What are the degree, type, leading coefficient, and constant term of each polynomial function?
f(x) = -x + 3
Degree : 1, Linear, -1, 3
What is the degree and end behavior of y = x^2 - 4?
Degree : 2
Opens upward
P(x) = 5x^3 + 10x - 13x^2 - 9 by x - 2.
Express in the form P(x)/x - a = Q(x) + R/x - a.
5x^2 - 3x + 4 + (-1/x - 2)
Determine each quotient, Q, using synthetic division.
(x^3 + x^2 + 3) ÷ (x + 4)
x^2 - 3x + 12
What is the only number that has the same number of letters as it's meaning?
4
What are the degree, type, leading coefficient, and constant term of each polynomial function?
g(x) = 3x^4 + 3x^2 - 2x + 1
Degree : 4, Quartic, 3, 1
What is the definition of end behavior?
The behavior of the y-values of a function as |x| becomes very large.
3x^4 - 4x^3 - 6x^2 + 17x - 8 by x + 1.
Express in the form P(x)/x - a = Q(x) + R/x - a.
3x^3 - 7x^2 + x + 16 - (24/x+1)
Determine each quotient, Q, using synthetic division.
(2x^3 + 7x^2 - x + 1) ÷ (x + 2)
2x^2 + 3x -7
How many seconds are in a day?
86400
What are the degree, type, leading coefficient, and constant term of each polynomial function?
y = -2x^5 - 2x^3 + 9
Degree : 5, Quintic, -2, 9
What is the degree and end behavior of
y = -x^4 + x^3 + 4x^2 - 4x ?
Degree : 4
Opens upward
(2y^4 - 3y^2 + 1) ÷ (y - 3)
Determine each quotient, Q, using long division.
Q(y) = 2y^3 + 6y^2 + 15y + 45
Determine each quotient, Q, using synthetic division.
(2s3 + 3s2 - 9s - 10) ÷ (s - 2)
Q(s) = 2s^2 + 7s + 5
16, 06, 68, 88, ?, 98
What goes in (?)
87
Every team gets a guess.
Name 10 Frozen Songs
What is the degree and end behavior of
y = -x^5 + x^4 + 8x^3 + 8x^2 - 16x - 16
Degree : 5
Extends from quadrant 2 to 4
When 3x^2 + 6x - 10 is divided by x + k, the remainder is 14. Determine the value(s) of k.
4 and -2
What is the remainder when x^3 - 10x + 6 is divided by x + 4?
- 18
When is Ms. Ryu's Birthday?
January 9th