CA_GPS_11

# CA_GPS_11 - 1. a) 2 ( ) 4 3 f x x x = ! + b) 5 8 4 ) ( 2 !...

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Rev. S08 http://faculty.valenciacc.edu/ashaw/ COLLEGE ALGEBRA NAME: ________________________________ GPS # 11 2.1 QUADRATIC FUNCTIONS; PARABOLAS Class Time: ____________ Date: __________ Useful Guidelines: * Quadratic Function: 2 ( ) ,( 0) f x ax bx c a = + + ! , where a , b and c are real numbers. * The vertex of the graph of 2 ( ) ,( 0) f x ax bx c a = + + ! has coordinates ) , ( y x = , 2 2 b b f a a ! " # # ! " \$ % \$ % . * The axis of symmetry of the parabola has equation a b x 2 ! = . * To graph a quadratic function: Step 1: Determine whether the parabola opens up or down. Step 2: Find the vertex. Step 3: Find the x -intercepts (if any) and y -intercept. Step 4: Plot the graph. [Find additional points as needed.] Graph each parabola, Give the vertex, axis, domain, and range.
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Unformatted text preview: 1. a) 2 ( ) 4 3 f x x x = ! + b) 5 8 4 ) ( 2 ! + ! = x x x f 2. A rocket is fired upward. After t hour, the height of the rocket is given by t t t S 64 2 ) ( 2 + ! = . Find the time required in hours for the rocket to reach maximum height, and find the maximum height in kilometers. 3. The monthly total revenue for a beverage is given by 2 1 . 4000 ) ( x x x R ! = dollars, where x is the number of units sold. a) To maximize the monthly revenue, how many units must be sold? b) What is the maximum possible monthly revenue?...
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## This note was uploaded on 10/18/2011 for the course MAC 1105 taught by Professor Russel during the Summer '07 term at Valencia.

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The text appears to be a set of college algebra problems, including quadratic functions and parabolas, and a word problem about a rocket's height and a revenue maximization problem.
multiple_questions
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
CA_GPS_11

# CA_GPS_11 - 1. a) 2 ( ) 4 3 f x x x = ! + b) 5 8 4 ) ( 2 !...

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Rev. S08 http://faculty.valenciacc.edu/ashaw/ COLLEGE ALGEBRA NAME: ________________________________ GPS # 11 2.1 QUADRATIC FUNCTIONS; PARABOLAS Class Time: ____________ Date: __________ Useful Guidelines: * Quadratic Function: 2 ( ) ,( 0) f x ax bx c a = + + ! , where a , b and c are real numbers. * The vertex of the graph of 2 ( ) ,( 0) f x ax bx c a = + + ! has coordinates ) , ( y x = , 2 2 b b f a a ! " # # ! " \$ % \$ % . * The axis of symmetry of the parabola has equation a b x 2 ! = . * To graph a quadratic function: Step 1: Determine whether the parabola opens up or down. Step 2: Find the vertex. Step 3: Find the x -intercepts (if any) and y -intercept. Step 4: Plot the graph. [Find additional points as needed.] Graph each parabola, Give the vertex, axis, domain, and range.
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Unformatted text preview: 1. a) 2 ( ) 4 3 f x x x = ! + b) 5 8 4 ) ( 2 ! + ! = x x x f 2. A rocket is fired upward. After t hour, the height of the rocket is given by t t t S 64 2 ) ( 2 + ! = . Find the time required in hours for the rocket to reach maximum height, and find the maximum height in kilometers. 3. The monthly total revenue for a beverage is given by 2 1 . 4000 ) ( x x x R ! = dollars, where x is the number of units sold. a) To maximize the monthly revenue, how many units must be sold? b) What is the maximum possible monthly revenue?...
View Full Document

## This note was uploaded on 10/18/2011 for the course MAC 1105 taught by Professor Russel during the Summer '07 term at Valencia.

Ask a homework question - tutors are online
user
The text appears to be a set of college algebra problems, including quadratic functions and parabolas, and a word problem about a rocket's height and a revenue maximization problem.

TYPE: MULTIPLE_QUESTIONS