Chap4 Section1

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

• Notes
• davidvictor
• 6

This preview shows pages 1–2. Sign up to view the full content.

Section 4.1 Piecewise-Defined Functions 347 Version: Fall 2007 4.1 Exercises 1. Given the function defined by the rule f ( x ) = 3 , evaluate f ( 3) , f (0) and f (4) , then sketch the graph of f . 2. Given the function defined by the rule g ( x ) = 2 , evaluate g ( 2) , g (0) and g (4) , then draw the draw the graph of g . 3. Given the function defined by the rule h ( x ) = 4 , evaluate h ( 2) , h ( a ) , and h (2 x +3) , then draw the graph of h . 4. Given the function defined by the rule f ( x ) = 2 , evaluate f (0) , f ( b ) , and f (5 4 x ) , then draw the graph of f . 5. The speed of an automobile travel- ing on the highway is a function of time and is described by the constant func- tion v ( t ) = 30 , where t is measured in hours and v is measured in miles per hour. Draw the graph of v versus t . Be sure to label each axis with the appro- priate units. Shade the area under the graph of v over the time interval [0 , 5] hours. What is the area under the graph of v over this time interval and what does it represent? 6. The speed of a skateboarder as she travels down a slope is a function of time and is described by the constant function v ( t ) = 8 , where t is measured in seconds and v is measured in feet per second. Draw the graph of v versus t . Be sure to label each axis with the appropriate units. Shade the area under the graph of v over the time interval [0 , 60] seconds. What is the area under the graph of v over this time interval and what does it represent? Copyrighted material. See: 1 7. An unlicensed plumber charges 15 dollars for each hour of labor. Let’s de- fine this rate as a function of time by r ( t ) = 15 , where t is measured in hours and

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

This is the end of the preview. Sign up to access the rest of the document.
• '
• NoProfessor
• Derivative, 2 inches, Functions and mappings, 0 minutes, 0 seconds

{[ 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