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1.2. EXPONENTIAL FUNCTIONS. Table of Function. Graph of Function. Formula of Function. Amount of drug in bloodstream after t hours when given 250 mg medication. Q = f(t) = 250(0.6) t. Exponential decay function. (b) Since a = 1.012, the growth rate is 0.012 = 1.2%.

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  1. 1.2 EXPONENTIAL FUNCTIONS

  2. Table of Function Graph of Function

  3. Formula of Function

  4. Amount of drug in bloodstream after t hours when given 250 mg medication Q = f(t) = 250(0.6)t Exponential decay function

  5. (b) Since a = 1.012, the growth rate is 0.012 = 1.2%

  6. Solution: a, c, and p are positive and a = c < p (y-intercepts of each function) d and q are greater than 1 and q > d 0 < b < 1 The most frequently used base for an exponential function is the famous number e = 2.71828

  7. Example 3: Convert the functions P = e0.5t and Q = 5e-0.2t into the form y = y0at . Solution:

  8. Example 4: Convert the functions P = 3(1.05)t and Q = 5(.94)t into the form y = y0ekt .

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