Math_41_Exam_1Part_1_key_

Math_41_Exam_1Part_1_key_ - that ( ) 2 , ( ) 2 x f x x g x...

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

View Full Document Right Arrow Icon
Math 41 Exam 1 Name___________________________________________________ Show your work! Answers without supporting work will receive no credit. Please circle your final answers! 1. (6) Compare the graph of 3 1 4 ( ) ( 2) h x x = + with the graph of 3 ( ) f x x = . Describe the transformation. 2. (9) Find (a) ( )( ) f g x + , (b) ( )( ) f g x - , (c) ( )( ) fg x , (d) ( / )( ) f g x , given 2 3 1 1 ( ) , ( ) f x g x x x = = . Simplify!!! What is the domain of f/g ? 3. (6) Show that f and g are inverse functions algebraically . Use a graphing utility to graph f and g in the same viewing window, and draw the graph. Describe the relationship between the graphs. ( ) 4 f x x = - , 2 ( ) 4, 0 g x x x = + . 4. (6) Find the slope-intercept form of the equation of the line that passes through the points (4,3) and (-4,-4).
Background image of page 1

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

View Full DocumentRight Arrow Icon
5. (6) Determine the domains of (a) f , (b) g , (c) f g o , given 2 1 ( ) 2, ( ) 4 f x x g x x = + = - . 6. (6) Show that f and g are inverse functions (a) graphically and (b) numerically, given
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: that ( ) 2 , ( ) 2 x f x x g x = = . (a) Graphically (b) Numerically y 1 = y 1 = y 2 = y 2 = 7. (6) A company produces a toy for which the variable cost is $12.30 per unit and the fixed costs are $98,000. The toy sells for $17.98. Let x be the number of units produced and sold. (a) The total cost for a business is the sum of the variable cost and the fixed costs. Write the total cost C as a function of the number of units produced. (b) Write the revenue R as a function of the number of units sold. (c) Write the profit P as a function of the number of units sold. (Note: P=R-C ). 8. (5) Use your calculator to approximate any relative minimum or maximum values of the function ( ) 4 g x x x =-. Round to the nearest hundredth....
View Full Document

Page1 / 2

Math_41_Exam_1Part_1_key_ - that ( ) 2 , ( ) 2 x f x x g x...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online