(a) Write an equation that defines the exponential function with base b > 0. (b) What is...

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(a) Write an equation that defines the exponential function with base b > 0.

(b) What is the domain of this function?

(c) If b ≠ 1, what is the range of this function?

(d) Sketch the general shape of the graph of the exponential function for each of the following cases.

(i) b > 1

(ii) b = 1

(iii) 0 < b < 1

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