Stitz-Zeager_College_Algebra_e-book

However we will have another use for the completed

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: xist. |x + 4 | x+4 |2 − x| (g) f (x) = 2−x 1 (h) f (x) = |2x − 1| 3 (i) f (x) = |x + 4| + |x − 2| (a) f (x) = |x + 4| (f) f (x) = (b) f (x) = |x| + 4 (c) f (x) = |4x| (d) f (x) = −3|x| (e) f (x) = 3|x + 4| − 4 2. With the help of your classmates, prove the second, third and fifth properties listed in Theorem 2.1. 3. With the help of your classmates, find a function involving absolute values whose graph is given below. y 4 3 2 1 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 x 4. With the help of your classmates, prove the following two properties of absolute value. (a) (The Triangle Inequality) For all real numbers a and b, |a + b| ≤ |a| + |b|. (b) If |f (x)| = |g (x)| then either f (x) = g (x) or f (x) = −g (x). 5. Use the result from Exercise 4b above to solve the following equations. Interpret your results graphically. (a) |3x − 2| = |2x + 7| (b) |3x + 1| = |4x| (c) |1 − 2x| = |x + 1| (d) |2 − 5x| = 5|x + 1| 136 2.2.2 Linear and Quadratic Functions Answers 1. (a) f (x) = |x + 4| f (−4) = 0 x-intercept (−4, 0) y -intercept (...
View Full Document

Ask a homework question - tutors are online