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.\nf(x) = (1/3)^x and g(x) = (1/3)^{x - 4} + 3\ngraph f(x) = (1/3)^x and g(x) = (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) = (1/3)^x?\ny = 0 (type an equation.)\nwhat is the asymptote of g(x) = (1/3)^{x - 4} + 3?\n(type an equation.)

graph functions f and g in the same rectangular coordinate system. graph and give the equations of all asymptotes.\nf(x) = (1/3)^x and g(x) = (1/3)^{x - 4} + 3\ngraph f(x) = (1/3)^x and g(x) = (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) = (1/3)^x?\ny = 0 (type an equation.)\nwhat is the asymptote of g(x) = (1/3)^{x - 4} + 3?\n(type an equation.)

Answer

Explanation:

Step1: Analyze the transformation of the function

For an exponential function (y = a^{x - h}+k), the horizontal asymptote is (y = k). The function (g(x)=\left(\frac{1}{3}\right)^{x - 4}+3) is in the form (y = a^{x - h}+k) where (a=\frac{1}{3}), (h = 4), and (k = 3).

Step2: Determine the asymptote

Since the horizontal asymptote of (y=a^{x - h}+k) is (y = k), for the function (g(x)=\left(\frac{1}{3}\right)^{x - 4}+3), the value of (k) is (3).

Answer:

(y = 3)