Answer:
Domain= possible x values
Range= possible y values.
Domain= all real numbers
Range= all numbers greater than -2.
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Domain = all real numbers and Range = ( -2 , ∞) of the given exponential graph
" Domain of exponential function y = aˣ is all the values of x and range is the all calculated values of 'y' after substituting value of x."
General exponential function
y = aˣ
According to the graph,
Given exponential function,
y = 3ˣ - 2
x represents the domain of the function.
y represents the range of the function
compare with exponential equation
a= 3 >1
As the value of 'x' increases value of 'y' moves to infinity.
Therefore, value of y defined for all the values of 'x'.
Therefore,
Domain is set of all real numbers.
Function y is transformed by -2.
Substitute x=0 in y = 3ˣ-2 we get,
y = -2
Therefore,
Range = (-2 , ∞)
Hence, Domain = all real numbers and Range = ( -2 , ∞) of the given exponential graph.
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