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).

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): You can put this solution on YOUR website!

(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,

The function is

(3) The function value is 300 when x=10.

= 1.18800 to 5 decimal places.

ANSWER: The function is

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