graph-f-x-5x-to-start-after-that-graph-the-provided-function-using-transformatio

Question

Graph f(x) = 5^x to start. After that, graph the provided function using transformations of this graph. Graph the asymptotes and provide equations. Find the function's domain and range using the graphs.
g(x) = 5^{x +3}

Accepted Answer

Domain: (-∞, ∞) Range: (0, ∞), horizontal asymptote: y = 0

Graph of f(x) = 5^x with horizontal asymptote y = 0 and point (-3, 1).

Answer

Domain: (-∞, ∞) Range: (0, ∞), horizontal asymptote: y = 0

Graph of f(x) = 5^x with horizontal asymptote y = 0.

Answer

Domain: (-∞, ∞) Range: (3, ∞), horizontal asymptote: y = 3

Graph of f(x) = 5^x with horizontal asymptote y = 3 and point (0, 4).

Answer

Domain: (-∞, ∞) Range: (-3, ∞), horizontal asymptote: y = -3

Graph of f(x) = 5^x with horizontal asymptote y = -3 and point (0, -2).

Graph f(x) = 5x to start. After that, graph the provided function using transformations of this graph. Graph the asymptotes and provide equations. Find the function's domain and range using the graphs.g(x) = 5x +3

Graph f(x) = 5^x to start. After that, graph the provided function using transformations of this graph. Graph the asymptotes and provide equations. Find the function's domain and range using the graphs.
g(x) = 5^{x +3}