Intermediate Algebra – Student Workbook – Second Edition 2013

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

Lesson 6b - Rational Exponents and Radical Functions Mini-Lesson Problem 3 YOU TRY – COMPUTE WITH RATIONAL/RADICAL EXPONENTS Compute each of the following showing as much work as possible. Check results using your calculator. a) 36 b) 3 64 c) 16 3 2 d) 1 2 ( 25) 3 e) ( 27) 4 Problem 4 YOU TRY – SIMPLIFY USING PROPERTIES OF EXPONENTS Simplify each of the following using properties of exponents. Remember to write all final results with positive exponents only. Show as much work as possible. a) x 1 4 x 3 7 = b) x 2 x 1 4 = 3 4 4 6 c) ( 2x y )(3x y ) = 3 2 2 1 3x y 4x y d) 4 6x y 2 z 5 = Scottsdale Community College Page 268 Intermediate Algebra
Lesson 6b - Rational Exponents and Radical Functions Mini-Lesson RADICAL FUNCTIONS – KEY CHARACTERISTICS Radical Functions A basic radical (square root) function is a function of the form f (x) = p(x) where p(x) is a polynomial and p ( x) 0 (remember that we cannot take the square root of negative numbers in the real number system). DOMAIN To determine the domain of f(x), you want to find the values of x such that p ( x) 0 . X-INTERCEPT To determine the x-intercept, solve the equation p(x) = 0. Y-INTERCEPT To determine the y-intercept, determine the value for f(0). This means, plug 0 in for x and compute the result. You will not always have a y-intercept. Problem 5 WORKED EXAMPLE – KEY CHARACTERISTICS OF RADICAL FUNCTIONS Graph f ( x) x 2 and determine y-intercept, x-intercept, and domain of f(x). To graph, input into Y1 the following: 2 nd >X^2 then x-2) so that Y1= ( x 2) on the standard window (Zoom 6) to get the graph below: . Graph DOMAIN Solve x 2 0 to get x 2. Therefore the domain is x 2. X-INTERCEPT Solve x – 2 = 0 to get x = 2. The x-intercept is (2,0) Y-INTERCEPT Determine f(0) = 0 2 2 which is not a real number, so there is no y- intercept. Scottsdale Community College Page 269 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 4b - More on Logarithms This
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Intermediate Algebra – Student Workbook – Second Edition 2013

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