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Section 3.1B

# Section 3.1B - f(x = e x is the common(basic function(a y =...

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1 Warm-up for Section 3.1B Evaluate: e - .04 Evaluate: 5000(1+0.25) 3·4 Solve graphically: (⅓) x < 2 x-1

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2 Applications Example 1 Let y represent the mass of a quantity of a radioactive element whose half-life is 25 years. After t years, the mass (in grams) is given by y = 10(½) t / 25 . What is the initial mass? How much of the initial mass is present after 80 years? What percent of the initial mass is left after 100 years?
3 Applications Example 2 The approximate number of fruit flies in an experimental population after t hours is given by the following formula. What is the initial population of fruit flies? How large is the population after 72 hrs? 0 , 20 ) ( 03 . 0 = t e t Q t

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4 Transformations Write a point transformation rule for each if

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Unformatted text preview: f(x) = e x is the common (basic) function. (a) y = 2e x-3 (x, y) (b) y = e .5x 3 (x, y) (c) Y = e 2x+1 + 4 (x, y) 5 Transformations y = b x y = ab cx-h + k Point transformation: (x, y) Describe the effect each has on the graph | a | | c | If a &amp;lt; 0 If a &amp;gt; 0 What is the horizontal shift if c = 1? What is the horizontal shift if c 1? What is the vertical shift? 6 Graphing Exponential Functions Sketch the graph of each by hand. Determine the domain, range, equations of asymptotes, coordinates of all intercepts. Determine if the graph is increasing or decreasing. ( 29 ( 29 4 1 3 1 2 ) ( 1 3 ) ( 2 3 ) (--+-= + = = x x x x h x g x f...
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Section 3.1B - f(x = e x is the common(basic function(a y =...

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