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chapter 1 53 - CHAPTER 1 REVl EW 53 3(a 4 yield 0...

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Unformatted text preview: CHAPTER 1 REVl EW 53 3_ (a) 4. yield 0 fertilizer There will be some yield with no fertilizer. increasing (b) F th h see that the distance yields with increasing fertilizer use. a leveling-off of mm e grap .we : ' c t l d ft 45 c nd is slightly less yields at some point. and disaster with too much raveeaer.seos‘" “ f It‘l' s . than 150 feet. e l 126T u 6 5. f(:c):v4~3m2.Domain:4—3m220 :> 3m2§4 :> 3523; i lx|§%.Rangezy20and ysx/l => 052132. 1 5.g(ac): 334—1 for g.) . Domain: .r + 1 75 0 => ac 75 ~1. Range: all reals except 0 (y = 0 is the horizontal asymptote 7.y:1+sinx.Domain:lR.Range:—1§sinm£1 :> 031+sinw§2 :> 033/32. 8. y : lnln 3;. Domain: We must have 1112: > 0 :> a: > 60 :> a: > 1. Range: lnm > 0. so ln(ln m) takes on all real numbers and. hence. the range is R. 9. (a) To obtain the graph of y : flan) + 8, we shift the graph of y : f(m) up 8 units. (b) To obtain the graph ofy : f(m + 8). we shift the graph ofy : fix) left 8 units. (c) To obtain the graph of y : 1 + 2 f (m) we stretch the graph of y = f (x) vertically by a factor of 2. and then shift the resulting graph 1 unit upward. (d) To obtain the graph ofy : flan — 2) — 2. we shift the graph of y = f(m) right 2 units (for the “—2" inside the parentheses). and then shift the resulting graph 2 units downward. (e) To obtain the graph ofy : —f(a:), we reflect the graph of y = f(:c) about the :c—axis. (f) To obtain the graph of y : f‘l(a:). we reflect the graph of y = f(x) about the line y = :v (assuming f is one—to—one). 10. (a) To obtain the graph ofy : f($ — 8). we (b) To obtain the graph ofy : ~f(ac). we reflect the shift the graph ofy = f(m) right 8 units. graph ofy : flat) about the m—axis. ...
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