What is the range of f(x)=3*e^{2x} ?

The range of f(x)=3*e^{2x} is f(x)>0

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range of f(x)=3*e^{2x}

range

f (x) = 3 \cdot e^{2 x}

f (x) > 0

Interval Notation

(0, \infty)

Solution steps

The range of an exponential function of the form

c \cdot n^{a x + b} + k

f (x) > k

k = 0

f (x) > 0

f (x) = \frac{2 x - 3}{x + 1}

f (x) = x^{3} - 4 x^{2} - x + 4

f (x) = x^{2} + 4 x + 3

(4, - 1), (- 1, - 2)

f (x) = \frac{x ^{2}}{2 - x}