chapter 1 9

# chapter 1 9 - SECTION 1.1 FOUR WAYS TO REPRESENT A FUNCTION...

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

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: SECTION 1.1 FOUR WAYS TO REPRESENT A FUNCTION El 9 (c) As in part (b), there is \$1000 tax assessed on \$20,000 of T(in dollars) income, so the graph of T is a line segment from (10,000, 0) to (20,000, 1000). The tax on \$30,000 is \$2500, so the graph of T for a: > 20,000 is the ray with initial point 1000 (20,000, 1000) that passes through (30,000, 2500). 2500 10,000 20,000 30,000 I (in dOHHIS) 56. One example is the amount paid for cable or telephone system repair in the home, usually measured to the nearest quarter hour. Another example is the amount paid by a student in tuition fees, if the fees vary according to the number of credits for which the student has registered. 57. f is an odd function because its graph is symmetric about the origin. 9 is an even function because its graph is symmetric with respect to the y-axis. 58. f is not an even function since it is not symmetric with respect to the y—axis. f is not an odd function since it is not symmetric about the origin. Hence, f is neither even nor odd. 9 is an even function because its graph is symmetric with respect to the y-axis. 59. (a) Because an even function is symmetric with respect to the y—axis, and the point (5, 3) is on the graph of this even function, the point (—5, 3) must also be on its graph. (b) Because an odd function is symmetric with respect to the origin, and the point (5,3) is on the graph of this odd function, the point (—5, —3) must also be on its graph. 50. (a) If f is even, we get the rest of the graph by (b) If f is odd, we get the rest of the graph by reﬂecting about the y—axis. rotating 180° about the origin. y y 0 0 x x 61. f(:1:) : 13—2. 62. f(:c) = 23—3. _ 1 1 1 1 f(—.’ZI):(—.’E) 2: :_ —.’L' 2 “IL‘ _3: :_ (_\$)2 \$2 f( ) ( ) (—{II)3 _\$3 : \$_2 : f (E 1 _ . l.) =——3=—<w 3)=—f<m> So f is an even function. cc y . So f is odd. 63. f(;c) : 332 + c, so f(—a:) = (—a:)2 + (—a:) = \$2 — m. Since this is neither f(av) nor —f(:c), the function f is neither even nor odd. ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern