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Question

The graph of f(x) = e^x is shown in the figure. To graph the given function, use the transformations of this graph. Give the asymptotes' equations. Find the domain and range of the function using the graphs.
g(x) = e^x -8

Accepted Answer

Domain: (-∞, ∞) Range: (-8, ∞), horizontal asymptote: y = -8

Graph of f(x)=e^x and g(x)=e^x-8 with asymptote y=-8.

Answer

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

Graph of f(x)=e^x and g(x)=e^x-8 with asymptote y=0.

Answer

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

Graph of f(x)=e^x and g(x)=e^x-8 with asymptote y=0.

Answer

Domain: (-∞, ∞) Range: (8, ∞), horizontal asymptote: y = 8

Graph of f(x)=e^x and g(x)=e^x-8 with asymptote y=8.

The graph of f(x) = ex is shown in the figure. To graph the given function, use the transformations of this graph. Give the asymptotes' equations. Find the domain and range of the function using the graphs.g(x) = ex -8

The graph of f(x) = e^x is shown in the figure. To graph the given function, use the transformations of this graph. Give the asymptotes' equations. Find the domain and range of the function using the graphs.
g(x) = e^x -8