<p> Lesson 11, Section 2.2 (Part 2)</p><p>I Function Notation</p><p>Functions are usually named by letters (upper or lower case).</p><p> f (x) is called function notation, read 'f of x' and represents the function f with domain x. It means the same thing as y. *Note: f(x) does not mean f times x!!!</p><p> x  rule of correspondence  y or f (x)</p><p>1. f :{(3,2),(1,3),((2,2)} f (3) </p><p> a) Find: f (1)  f (2) </p><p> f (x)  2</p><p> b) Find the value of x such that... f (x)  3 f (x)  2</p><p>2. f (3,4) (2,3)</p><p>(-5, -3)</p><p>(0,-3)</p><p>(-8, -6)</p><p> f (8) </p><p> a) Find f (2)  f (3)  f (x)  3 b) Find the value of x such that... f (x)  3 f (x)  6</p><p>*Note: f(x) does not mean f times x!!!</p><p>  1   3. g: (0,2), ,3),(3,1),(1,2)   2   g(3) a) Find: g(- 1) g(0)</p><p> g( x )= 3 b) Find the value of x such that.... g( x )= 2</p><p>4. h</p><p> h(2)  a) Find: h(0) </p><p> h( x )= 0 b) Find x such that.... h( x )= - 2 3 5. r(t)  t  4 2</p><p> r(2) </p><p> a) Find f (2)  r(8) </p><p> f( t )= 8 b) Find t such that f( t )= 2 f( t )= - 2</p><p>6) a) Find g (3) for g(x)  2x 1</p><p> b) Find f (-1) for f (t)  5t 2  t</p><p> c) Find h (4) for h (x) = 2</p><p> d) Find f (a) for f (x)  6x 1</p><p> e) Find g(a 1) for g(x)  2x  3</p><p> f) Find h(3m) for h(x)  5x 2  4x</p><p> x  2 g) Find f (0) for f (x)  2x  3 x  2 h) Find f (x  2) for f (x)  2x  3</p><p>Function Models</p><p>A Surface area of a sphere is given by A(r)  4 r 2</p><p>Find the surface area of the sphere when radius is 5 cm. Give an exact value and an approximation using 3.14 for pi.</p><p>5 B Celsius temperature is given by C(F)  (F  32) . 9</p><p> a) Find Celsius temperature if Fahrenheit temperature is 50 degrees.</p><p> b) Find Celsius temperature if Fahrenheit temperature is -4 degrees. The following graph ( f( t ) )shows the percentage of people who responded 'yes' to the question, 'If your party nominated a well-qualified woman candidate for president, would you vote for that person?'</p><p> t a) Use the graph to approximate the percentage of people who said 'yes' for 1960? 1980?</p><p> b) If the trend continues, how many would you approximate would say 'yes' for 2008? B Compact fluorescent lightbulbs (CFL) can be used to most places that conventional incandescent bulbs are, but use a fraction of the electricity. This table lists the CFL wattage and the incandescent wattage required to create the same amount of light. CFL wattage Incandescent equivalent 7 25 20 75 30 120</p><p>Use the data to draw a graph and estimate the wattage of an incandescent bulb that reates light equivalent to a 15-watt CFL bulb? 35-watt CFL bulb?</p><p>150 t n e l a v i u q e t n e c s 100 e d n a c n I</p><p>50</p><p>10 f(x)</p><p>5 10 15 20 25 30 35 40</p><p> x CFL Wattage</p>