26_Cal_Solution of Calculus_6e

26_Cal_Solution of Calculus_6e - C01S03.017: The domain of...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
C01S03.017: The domain of f ( x )= x x + 2 is the interval [ 2 , + ), so its graph must be the one shown in Fig. 1.3.38. C01S03.018: The domain of f ( x )= 2 x x 2 consists of those numbers for which 2 x x 2 = 0; that is, x (2 x ) = 0. This occurs when x and 2 x have the same sign and also when either is zero. If x> 0 and 2 x> 0, then 0 <x< 2. If x< 0 and 2 x< 0, then x< 0 and x> 2, which is impossible. Hence the domain of f is the closed interval [0 , 2]. So the graph of f must be the one shown in Fig. 1.3.36. C01S03.019: The domain of f ( x )= x 2 2 x consists of those numbers x for which x 2 2 x = 0; that is, x ( x 2) = 0. This occurs when x and x 2 have the same sign and also when either is zero. If x> 0 and x 2 > 0, then x> 2; if x< 0 and x 2 < 0, then x< 0. So the domain of f is the union of the two intervals ( −∞ , 0] and [2 , + ). So the graph of f must be the one shown in Fig. 1.3.39. C01S03.020:
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/14/2011 for the course MATH 101 taught by Professor Cheng during the Spring '11 term at Ecole Hôtelière de Lausanne.

Ask a homework question - tutors are online