graph functions f and g in the same rectangular coordinate system. graph and give the equations of all…

graph functions f and g in the same rectangular coordinate system. graph and give the equations of all asymptotes.\n$f(x)=(\\frac{1}{3})^{x}$ and $g(x)=(\\frac{1}{3})^{x - 4}+3$\ngraph $f(x)=(\\frac{1}{3})^{x}$ and $g(x)=(\\frac{1}{3})^{x - 4}+3$ and their asymptotes. graph the asymptotes as dashed lines. use the graphing tool to graph the functions.\nwhat is the asymptote of $f(x)=(\\frac{1}{3})^{x}$?\n(type an equation.)
Answer
Explanation:
Step1: Recall the general form of an exponential function
The general form of an exponential function is (y = a\cdot b^{x - h}+k). For the function (f(x)=\left(\frac{1}{3}\right)^{x}), it can be written in the form (y = 1\cdot\left(\frac{1}{3}\right)^{x-0}+0), where (a = 1), (b=\frac{1}{3}), (h = 0), and (k = 0).
Step2: Determine the horizontal asymptote
For an exponential function of the form (y=a\cdot b^{x - h}+k), the horizontal asymptote is given by the equation (y = k).
Answer:
(y = 0)