(Solved): Use transformations of the graph of \( f(x)=3^{x} \) to graph the given function. Be sure to graph ...

Use transformations of the graph of \( f(x)=3^{x} \) to graph the given function. Be sure to graph and give the equation of the asymptote. Use the graph to determine the function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs. \[ g(x)=3^{x+4} \] Graph \( g(x)=3^{x+4} \) and its asymptote. Use the graphing tool to graph the function as a solid ourve and the asymptote as a dashed line. The equation of the asymptote for \( g(x)=3^{x+4} \) is (Type an oquation.) The domain of \( g(x)=3^{x+4} \) is (Type your answer in interval notabion.) The range of \( g(x)=3^{x+4} \) is (Type your answer in interval notation.)