SOLUTION: Find an exponential function of the form f(x)=ba^x+c with y- intercept 2, horizontal asymptote y=-2, that passes through the point P(1,4)

Question 82637This question is from textbook
: Find an exponential function of the form f(x)=ba^x+c with y- intercept 2, horizontal asymptote y=-2, that passes through the point P(1,4) This question is from textbook

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
the y-intercept is 2 ... so when x=0, f(x)=ba^0+c=b(1)+c=b+c=2

horiz asymptote is y=-2 ... as x approaches negative infinity, ba^x approaches 0 ... so c=-2 ... b=2-c ... so b=4

substituting point P(1,4) ... 4=4a^1-2 ... 6=4a ... 3/2=a

f(x)=4(3/2)^x-2
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