SOLUTION: a) Graph the function f(x) 3^x Identify the key features of the graph. i) domain and range ii) x-intercept, if it exists iii) y-intercept if it exists iv) intervals for whic

Question 1167336: a) Graph the function f(x) 3^x
Identify the key features of the graph.
i) domain and range
ii) x-intercept, if it exists
iii) y-intercept if it exists
iv) intervals for which the function is positive
and intervals for which it is negative
v) intervals for which the function is
increasing and intervals for which it
is decreasing
vi) equation of the asymptote
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The domain of 3^x is all x.
The range is (0, oo). When x is negative, 3^x is less than 1 and approaches 0. The function is always positive and never negative.
No x-intercept.
y-intercept is (0, 1)
It is always increasing with increasing x.
The horizontal asymptote is x=0

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