a. 4๐ฅ +12๐ฅ +9๐ฅ =0 . ๐ฅ +2๐ฅ โ9๐ฅโ18=0...write a polynomial function f of least #4...
TRANSCRIPT
#1
Solve by factoring.
A. 4๐ฅ4 + 12๐ฅ3 + 9๐ฅ2 = 0
๐ต. ๐ฅ3 + 2๐ฅ2 โ 9๐ฅ โ 18 = 0
๐ถ. 3๐ฅ3 = 21๐ฅ
#2Sketch a graph of each of the functions.
A. ๐ ๐ฅ = ๐ฅ4 โ 8๐ฅ2 + 16
๐ต. ๐ ๐ฅ = โ3๐ฅ3 โ 15๐ฅ2 โ 12๐ฅ
#3
Consider each of the functions below and answer the questions on your worksheet.
A. ๐ ๐ฅ = ๐ฅ4 โ 5๐ฅ2 โ 36
๐ต. ๐ ๐ฅ = ๐ฅ3 + 3๐ฅ2 โ ๐ฅ โ 1
#4Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
A. 2, 3
๐ต. โ2, 3 + ๐
#5Complete the following table.
#6
Functionx-
interceptsLocal Max
Local Min
Increasing Decreasing Odd or Even?
๐ ๐ฅ = 2๐ฅ3 โ 5๐ฅ2
๐ ๐ฅ = โ๐ฅ4 + 2๐ฅ
โ ๐ฅ = ๐ฅ4 โ 4๐ฅ3 + 5๐ฅ โ 2
Match each graph with its equation.
Use finite differences to determine the degree of the polynomial function that fits the data. Use technology to find the model.
C. Find a polynomial model for the data.
#7
Write a cubic function whose graph passes through the given points.
A. B.
#8
For Answers
#1
Solve by factoring.
A. 4๐ฅ4 + 12๐ฅ3 + 9๐ฅ2 = 0
๐ต. ๐ฅ3 + 2๐ฅ2 โ 9๐ฅ โ 18 = 0
๐ถ. 3๐ฅ3 = 21๐ฅ
#2Sketch a graph of each of the functions.
A. ๐ ๐ฅ = ๐ฅ4 โ 8๐ฅ2 + 16
๐ต. ๐ ๐ฅ = โ3๐ฅ3 โ 15๐ฅ2 โ 12๐ฅ
#3
Consider each of the functions below and answer the questions on your worksheet.
A. ๐ ๐ฅ = ๐ฅ4 โ 5๐ฅ2 โ 36
i. How many solutions? __________
ii. How many REAL solutions? ________
iii. How many NON-REAL solutions? _______
iv. Find ALL the solutions.
๐ต. ๐ ๐ฅ = ๐ฅ3 + 3๐ฅ2 โ ๐ฅ โ 1
i. How many solutions? __________
ii. How many REAL solutions? ________
iii. How many NON-REAL solutions? _______
iv. Find ALL the solutions.
#4Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
A. 2, 3
๐ต. โ2, 3 + ๐
#5Complete the following table.
Function x-intercepts Local Max Local Min Increasing Decreasing
๐ ๐ฅ = 2๐ฅ3 โ 5๐ฅ2
๐ ๐ฅ = โ๐ฅ4 + 2๐ฅ
โ ๐ฅ = ๐ฅ4 โ 4๐ฅ3 + 5๐ฅ โ 2
#6Match each graph with its equation.
#7
Write a cubic function whose graph passes through the given points.
A.
B.
Use finite differences to determine the degree of the polynomial function that fits the data. Use technology to find the model.
c. Find a polynomial model for the data.
#8