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UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

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PRACTICE PROBLEM Set the inequality “equal” to zero.

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Page 1: UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

UNIT 2, LESSON 7

POLYNOMIAL AND RATIONAL INEQUALITIES

Page 2: UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

POLYNOMIAL INEQUALITIES

• The graph of y=f(x) lies above the x-axis exactly when f(x)>0 and below the x-axis exactly when f(x)<0.

Page 3: UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

PRACTICE PROBLEM23 152 xxx

• Set the inequality “equal” to zero.

0152 23 xxx

Page 4: UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

PRACTICE PROBLEM23 152 xxx

• Set the inequality “equal” to zero.• Graph on your graphing calculator.

Page 5: UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

PRACTICE PROBLEM23 152 xxx

• Set the inequality “equal” to zero.• Graph on your graphing calculator.• Find the zeros.

Page 6: UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

PRACTICE PROBLEM23 152 xxx

• Set the inequality “equal” to zero.• Graph on your graphing calculator.• Find the zeros.

The function is <0 wherever the graphfalls below the x-axis.

Page 7: UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

PRACTICE PROBLEM23 152 xxx

• Set the inequality “equal” to zero.• Graph on your graphing calculator.• Find the zeros.• Write the answer in interval notation.

0152 23 xxx

3,05.2,

Page 8: UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

PRACTICE PROBLEM884082110 234 xxxx

Page 9: UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

PRACTICE PROBLEM884082110 234 xxxx

080402110 234 xxxx

Page 10: UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

PRACTICE PROBLEM884082110 234 xxxx

080402110 234 xxxx

,89.153.1,

Page 11: UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

RATIONAL INEQUALITIES

• The behavior of a rational function f(x) is determined by the x-intercepts and asymptotes of the function.

Page 12: UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

PRACTICE PROBLEM

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Page 13: UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

PRACTICE PROBLEM

61

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061

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Page 14: UNIT 2, LESSON 7 POLYNOMIAL AND RATIONAL INEQUALITIES

PRACTICE PROBLEM

61

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061

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1,857.