calculus1-3b

# Thomas' Calculus, Early Transcendentals, Media Upgrade (11th Edition)

This preview shows pages 1–3. Sign up to view the full content.

Section 1.3 Combining Functions; Shifting and Scaling Graphs 19 62. Let y f x Let g x x , h x x , and i x x f x œ " œ Þ œ œ # œ # œ " œ Þ È È a b a b a b a b a b a b a b a b x x # # "Î# "Î# "Î# " # È The graph of g x is the graph of y x reflected across the x-axis. The graph of h x is the graph of g x shifted right a b a b a b È œ two units. And the graph of i x is the graph of h x compressed vertically by a factor of . a b a b È # 63. y f x x . Shift f x one unit right followed by a shift two units up to get g x x . œ œ œ " # a b a b a b a b \$ 3 64. y x f x . Let g x x , h x x , i x x , and œ " B # œ Ò " # Ó œ œ œ " œ " # a b a b a b a b a b a b a b a b a b a b \$ \$ \$ \$ \$ j x x . The graph of h x is the graph of g x shifted right one unit; the graph of i x is the graph of a b a b a b a b a b a b œ Ò " # Ó \$ h x shifted down two units; and the graph of f x is the graph of i x reflected across the x-axis. a b a b a b

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
20 Chapter 1 Functions 65. Compress the graph of f x horizontally by a factor of 2 to get g x . Then shift g x vertically down 1 unit to
This is the end of the preview. Sign up to access the rest of the 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