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Alg2 Un4Wk3 - Polynomial Zeros, Min/Max

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Find the coordinates of each real zero for the function f(x) = x³ − 3x² + 1

If decimals, round to the nearest hundredth

Write your answers: (a,b),(c,d),(x,y),(p,q)

(a)  

2.

Write the coordinates of the maxima and minima for the function f(x) = x³ − 3x² + 1

Identify which is the max and which is the min

Write your answer like this: max(a,b) min(c,d)

(a)  

3.

Find the coordinates of each real zero for the function f(x) = 2x³ + 9x² + 12x + 2

If a decimal, round to the nearest hundredth

Write your answer (a,b),(c,d),(g,h)

(a)  

4.

Write the coordinates of the maxima and minima for the function f(x) = 2x³ + 9x² + 12x + 2

Identify which is the max and which is the min

Write your answer like this: max(a,b) min(c,d)

(a)  

5.

Find the coordinates of each real zero for the function f(x) = x² - 2x² - 2

If a decimal, round to the nearest hundredth

Write your answer (a,b),(c,d),(g,h)

(a)  

6.

Write the coordinates of the maxima and minima for the function f(x) = x² - 2x² - 2

Identify which is the max and which is the min

Write your answer like this: max(a,b) min(c,d)



(a)  

7.

Find the coordinates of each real zero for the function f(x) = 2x³ – 3x² + 2

If a decimal, round to the nearest hundredth

Write your answer (a,b),(c,d),(g,h)

(a)  

8.

Write the coordinates of the maxima and minima for the function f(x) = 2x³ – 3x² + 2

Identify which is the max and which is the min

Write your answer like this: max(a,b) min(c,d)

[If there's only one max or min, just indicate that]

(a)  

9.

Find the coordinates of each real zero for the function f(x) = 0.5x⁴ - 4x² + 4

If a decimal, round to the nearest hundredth

Write your answer (a,b),(c,d),(g,h)

(a)  

10.

Write the coordinates of the maxima and minima for the function f(x) = 0.5x⁴ - 4x² + 4

Identify which is the max and which is the min

Write your answer like this: max(a,b) min(c,d)

[If there's more than one max or min, write all of them]

(a)