Name: College Algebra
Author: Blitzer
ISBN: 9780136970514

Ch. 3 - Polynomial and Rational Functions

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모든 교과서

Blitzer 8th Edition

Ch. 3 - Polynomial and Rational Functions

Section 3.6

문제 35

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. $x^{3} + 2 x^{2} - x - 2 \geq 0$

문제 36

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. $x^{3} + 2 x^{2} - 4 x - 8 \geq 0$

문제 37

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. $x^{3} - 3 x^{2} - 9 x + 27 < 0$

문제 39

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. $x^{3} + x^{2} + 4 x + 4 > 0$

문제 41

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. $x cubed is greater than or equal to 9 x squared$

문제 42

Solve each polynomial inequality in Exercises 1–42 and graph the solution set on a real number line. Express each solution set in interval notation. x³≤4x²

문제 43

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x−4)/(x+3) > 0

문제 45

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x+3)/(x+4)<0

문제 47

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (−x+2)/(x−4)≥0

문제 48

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (−x−3)/(x+2)≤0

문제 49

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (4−2x)/(3x+4)≤0

문제 50

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (3x+5)/(6−2x)≥0

문제 51

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. x/(x−3)>0

문제 52

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x+4)/x>0

문제 53

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x+4)(x−1)/(x+2)≤0

문제 55

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x + 1)/(x + 3) < 2

문제 57

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x + 4)/(2x - 1) ≤ 3

문제 58

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation.1/(x - 3) < 1

문제 59

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x - 2)/(x + 2) ≤ 2

문제 60

Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. x/(x + 2) ≥ 2

문제 61

Find the domain of each function. $f(x) = \sqrt{2x^2 - 5x + 2}$

문제 62

Find the domain of each function. $f(x) = \frac{1}{\sqrt{4x^2 - 9x + 2}}$

문제 63

Find the domain of each function. $f(x) = \sqrt{\frac{2x}{x + 1} - 1}$

문제 64

Find the domain of each function. $f(x) = \sqrt{\frac{x}{2x - 1} - 1}$

문제 65

Solve each inequality in Exercises 65–70 and graph the solution set on a real number line. |x² + 2x - 36| > 12

문제 67

Solve each inequality in Exercises 65–70 and graph the solution set on a real number line. 3/(x +3) > 3/(x - 2)

문제 68

Solve each inequality in Exercises 65–70 and graph the solution set on a real number line. 1/(x + 1) > 2/(x - 1)

문제 69

Solve each inequality in Exercises 65–70 and graph the solution set on a real number line. $(x^{2} - x - 2) / (x^{2} - 4 x + 3) > 0$

문제 71

In Exercises 71–72, use the graph of the polynomial function to solve each inequality.

$2 x^{3} + 11 x^{2} \geq 7 x + 6$

문제 72

In Exercises 71–72, use the graph of the polynomial function to solve each inequality.

2x³ + 11x² < 7x + 6