Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 5a - Introduction to Quadratic Functions Mini-Lesson Problem 11 MEDIA EXAMPLE – SOLVE QUADRATIC EQUATIONS GRAPHICALLY Solve x 2 - 10x+1 = 4. Plot and label the graphs and intersection points that are part of your solution process. Identify the final solutions clearly. Round to 2 decimals. Problem 12 YOU TRY – SOLVE QUADRATIC EQUATIONS GRAPHICALLY Solve 2x 2 – 5 = 6. Plot and label the graphs and intersection points that are part of your solution process. Identify the final solutions clearly. Scottsdale Community College Page 192 Intermediate Algebra
Lesson 5a - Introduction to Quadratic Functions Mini-Lesson APPLICATIONS OF QUADRATIC FUNCTIONS A large number of quadratic applications involve launching objects into the sky (arrows, baseballs, rockets, etc…) or throwing things off buildings or spanning a distance with an arched shape. While the specifics of each problem are certainly different, the information below will guide you as you decipher the different parts. HOW TO SOLVE QUADRATIC APPLICATION PROBLEMS 1. Draw an accurate graph of the function using first quadrant values only. Label the x-axis with the input quantity and units. Label the y-axis with the output quantity and units. 2. Identify, plot, and label the y-intercept. 3. Identify, plot, and label the vertex. 4. Identify, plot, and label the positive x-intercept (usually, there is only one x-intercept that we care about…if both are needed for some reason, then plot them both and include negative x-values in your graph for part 1). 5. Once you have done steps 1 – 4, THEN read the specific questions you are asked to solve. Questions that involve the y-intercept (0,c): How high was the object at time t = 0? (c) What was the starting height of the object? (c) Questions that involve the vertex b b ( , f ( )) : 2a 2a b How high was the object at its highest point? f ( ) 2a b What was the max height of the object? f ( ) 2a How long did it take the object to get to its max height? b 2a b f ( 2a What is the practical range of this function? 0 f ( x) ) Questions that involve (usually) the positive x-intercept (x 2 , 0): When did the object hit the ground? (x 2 ) What is the practical domain of this function? 0 x x2 How long did it take the object to hit the ground? (x 2 ) How far was the object from the center? (x 2 ) Scottsdale Community College Page 193 Intermediate Algebra
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Scottsdale Community College Interm
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Table of Contents Lesson 1a - Intro
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Lesson 1a - Introduction to Functio
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Lesson 1b - Linear Equations In the
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Lesson 1b - Linear Equations Mini-L
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Lesson 2b - Functions and Function
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Lesson 3a - Introduction to Exponen
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Lesson 6a - Exponents and Rational
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Lesson 6b - Rational Exponents & Ra
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Lesson 6b - Rational Exponents and
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Appendix A: You Try Answers Lesson
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Appendix A: You Try Answers You Try
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Intermediate Algebra – Student Workbook – Second Edition 2013

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