Intermediate Algebra – Student Workbook – Second Edition 2013

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

Lesson 3a – Introduction to Exponential Functions Mini-Lesson Problem 12 WORKED EXAMPLE – GIVEN OUTPUT FIND INPUT Given f(x) = 125(1.25) x find x when f(x) = 50. Round your respond to two decimal places. To do this, we need to SOLVE the equation 125(1.25) x = 50 using a process called the INTERSECTION METHOD on our graphing calculators. To solve 125(1.25) x = 50 Press Y= then enter Y1 = 125(1.25) x and Y2 = 50 Note: You could also let Y1 = 50 and Y2=125(1.25) x Press WINDOW then enter the values at right. Try to determine why these values were selected. You must see the intersection in your window. Other entries will work. If you graph and do not see both graphs AND where they intersect, you must pick new WINDOW values until you do. Press 2 nd >CALC Scroll to 5: INTERSECT and press ENTER Notice the question, “First Curve?” The calculator is asking if Y1 = 125(1.25) x is the first curve in the intersection. Press Enter to indicate “Yes” Notice the question, “Second Curve?” The calculator is asking if Y2 = 50 is the second curve in the intersection. Press Enter to indicate “Yes” Press Enter at the “Guess” question and obtain the screen at right. Your intersection values are given at screen bottom and the intersection is marked with a cursor. Round as indicated in your problem directions or as dictated by the situation. For this problem, we were asked to find x when f(x) = 50. Round to two decimal places. Our response is that, “When f(x) = 50, x = -4.11”. Note that this information corresponds to the ordered pair (-4.11, 50) on the graph of f(x) = 125(1.25) x Scottsdale Community College Page 108 Intermediate Algebra
Lesson 3a – Introduction to Exponential Functions Mini-Lesson Problem 13 YOU TRY – GIVEN OUTPUT FIND INPUT Given g(x) = 125(0.75) x , find x when g(x) = 50 (to two decimal places) using the same process as above. a) What equation will you solve to respond to the given question? __________________ b) On your calculator, you will let Y1 = ________________ and Y2 = _______________ c) What values are you using for your WINDOW: xmin=____, xmax=_____, ymin=____, ymax=____ d) What is the value of x that you found when g(x) = 50? _______________ (using 5: INTERSECT) e) To what ordered pair does this information correspond? _______________ f) Include a rough but accurate sketch of the graphs and intersection on the grid below. Mark and label the intersection. Scottsdale Community College Page 109 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 2a - Linear Functions and Ap
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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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