1. What is the difference in solving the equation 2x − 1 = 3 and the equation |2x − 1| = 3? Also solve each of them and compare the solutions.

College Algebra
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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.3: Getting Information From The Graph Of A Function
Problem 6E: (a) To solve the equation 2x+1=x+4 graphically, we graph the functions f(x)= and g(x)= on the same...
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1. What is the difference in solving the equation 2x − 1 = 3 and the equation |2x −
1| = 3? Also solve each of them and compare the solutions.

2. Solve for all possible values of x : |2x − 3| = |3x + 4|.

3. Using the compound function notation from Week 1 and the knowledge that
f(x) = |x|, the absolute value can be viewed as a compound function, write
the detailed definition for f(x) = |x − 4|. (Hint: Recall that in the compound
function notation |x| = x, if x > 0 and |x| = −x, if x < 0)

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