SOLUTION: Find an exponential function of the form f(x) = C · a^x + D with horizontal asymptote y =1 whose graph contains the points (1,7)and (0,5).

Algebra.Com
Question 1153466: Find an exponential function of the form f(x) = C · a^x + D with horizontal asymptote y =1 whose graph contains the points (1,7)and (0,5).
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


(1) Horizontal asymptote at y=1:

For a pure exponential function (D=0), the horizontal asymptote is 0. For the horizontal asymptote to be 1, D must be 1.



The function value at x=0 is 5:







The function value at x=1 is 7:








A graph:




RELATED QUESTIONS

FIND AN EXPONENTIAL FUNCTION OF THE FORM f(x)=ba^x+c WITH y-INTERCEPT 2, HORIZONTAL... (answered by stanbon)
Find an exponential function of the form f(x)=ba^x+c with y- intercept 2, horizontal... (answered by scott8148)
Find an exponential function of the form f(x)=ba^x+c with y-intercept 2, horizontal... (answered by venugopalramana)
Dear Sir/Madam, I am confronted with the following problem: "Find an exponential... (answered by khwang)
Find an exponential function of the form f(x)=ba^-x + c that has horizontal asymptote... (answered by Fombitz)
Graph the rational function f(×)= -4X^2+1/X^2+X-6 A)Find the vertical asymptote(s),If... (answered by greenestamps)
Find an exponential function of the form f(x)= ba^x+c with y intercept 2, horizontal... (answered by venugopalramana)
Find the horizontal asymptote, if any, of the graph of the rational function.... (answered by stanbon)
Find the exponential function of the form f(x)=ba^x+c with y-intercept 2, horizontal... (answered by stanbon)