I really need help solving this problem, and I hope I came to the right place (this is my first time on this site)! For a certain exponential function, I was given the points (-10, 1.9968), (-9,1.984), (-8, 1.92), (-7,1.6) and (-6,0). By the points, I was able to make some conclusions for the exponential function:
y = -a(5)^[k(x-d)] +2,
the b-value is 5, the c-value (or the asymptote) is 2, and the a-value is negative, as the function portrays to be decaying. I am in need of finding the a, k and d values of this exponential function, as I need it for a math assignment due soon. I would like to know if this is high school level math, as I may be interpreting the question differently. Thank you very much and I appreciate all your replies.
You have an extra parameter in your equation because $5^{-kd}$ can be absorbed into $a$, so now your equation is $y=-a5^{kx}+2$. If you subtract $2$ and take the log you get $\log_5(2-y)=\log_5(a)+kx$. This is a straight line in $x$ vs $\log_5(2-y)$ and you should be able to find $k$. I plotted the points and they look to fit a straight line nicely.