Stitz-Zeager_College_Algebra_e-book

Function j not a function j function domain 2 4

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Unformatted text preview: 4 5 x −1 −1 −2 −2 −3 −3 −4 −4 −5 −5 1 2 3 4 4 5 x 42 Relations and Functions 3. Determine which of the following equations represent y as a function of x. (a) y = x3 − x √ (b) y = x − 2 (c) x3 y = −4 (d) x2 − y 2 = 1 x (e) y = 2 x −9 (f) x = −6 (g) x = y2 +4 (h) y = x2 + 4 (i) x2 + y 2 = 4 √ (j) y = 4 − x2 (k) x2 − y 2 = 4 (l) x3 + y 3 = 4 (m) 2x + 3y = 4 (n) 2xy = 4 4. Explain why the height h of a Sasquatch is a function of its age N in years. Given that a Sasquatch is 2 feet tall at birth, experiences growth spurts at ages 3, 23 and 57, and lives to be about 150 years old with a maximum height of 9 feet, sketch a rough graph of the height function. 5. Explain why the population P of Sasquatch in a given area is a function of time t. What would be the range of this function? 6. Explain why the relation between your classmates and their email addresses may not be a function. What about phone numbers and Social Security Numbers? 7. The process given in Example 1.4.5 for determining whether an equation of a relation repr...
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