Stitz-Zeager_College_Algebra_e-book

8 quad e according to the model the production will

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Unformatted text preview: R = (x, y ) : x2 < y ≤ |4x − 3| 7. Suppose f is a function, L is a real number and ε is a positive number. Discuss with your classmates what the inequality |f (x) − L| < ε means algebraically and graphically.8 8 Understanding this type of inequality is really important in Calculus. 168 2.4.2 Linear and Quadratic Functions Answers 1. (a) (b) 1 3, 3 (k) No solution −∞, − 12 7 ∪ 8 7, ∞ (l) − 1 , 4 3 (c) [3, 4) ∪ (5, 6] (m) (0, 1) 4 (d) −∞, − 3 ∪ [6, ∞) √ 6 2 √ 6 2 ,∞ (e) − 12 , − 6 7 5 (n) −∞, 1 − ∪ 1+ (f) (−∞, −3] ∪ [1, ∞) (o) −∞, 5−6 73 ∪ (p) √ √ √ √ √ √ −3 2, − 11 ∪ − 7, 0 ∪ 0, 7 ∪ 11, 3 2 √ 1 (g) −∞, − 4 ∪ − 1 , ∞ 4 (h) No solution √ (i) (−∞, ∞) (q) −2 − (j) {2} √ 5+ 73 ,∞ 6 √ 7 ∪ [1, 3] (r) (−∞, ∞) 7, −2 + 3. 1.44 < t < 4.68 4. From our previous work C (F ) = 5 (F − 32) so 50 ≤ F ≤ 95 becomes 10 ≤ C ≤ 35. 9 5. The surface area could go as low as 39cm2 or as high as 45cm2 so we...
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