(a) Write an equation that defines the exponential function with base b > 0. f(x) = bx f(x) = logb⁡(x) f(x) = bex f(x) = eb/x f(x) = xb (b) What is the domain of this function? (Enter your answer using interval notation.) (c) If b ≠ 1, what is the range of this function? (Enter your answer using interval notation.) (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

(a) Write an equation that defines the exponential function with base b > 0. f(x) = bx f(x) = logb⁡(x) f(x) = bex f(x) = eb/x f(x) = xb (b) What is the domain of this function? (Enter your answer using interval notation.) (c) If b ≠ 1, what is the range of this function? (Enter your answer using interval notation.) (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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(a) Write an equation that defines the exponential function with base b > 0 . f ( x ) = b x f ( x ) = log b ( x ) f ( x ) = b e x f ( x ) = e b / x f ( x ) = x b (b) What is the domain of this function? (Enter your answer using interval notation.) (c) If b 1 , what is the range of this function? (Enter your answer using interval notation.) (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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