SOLUTION: find an exponential function of the form f(x) = ba^-x + c that has the horizontal asymptote y = 350 and y-intercept 70 and passes through the point (10,300).
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-> SOLUTION: find an exponential function of the form f(x) = ba^-x + c that has the horizontal asymptote y = 350 and y-intercept 70 and passes through the point (10,300).
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Question 1194927: find an exponential function of the form f(x) = ba^-x + c that has the horizontal asymptote y = 350 and y-intercept 70 and passes through the point (10,300). Answer by greenestamps(13200) (Show Source):
(1) For large values of x, a^(-x) goes to zero, so the function is . The value of the function approaches 350 for very large values of x, so c=350. The function is
(2) When x=0, a^(-x)=1, so the function is . Since f(0)=70,
