Describe when the graph of f(x) = ab^x is a horizontal line.?

I thought it was when a=0, but its not...

2 answers

take a look at this, letting a=5, b=3 http://www.wolframalpha.com/input/?i=y+%3D+3*5%5Ex

so when x= large negative number, then slope goes to ....
technically, the graph is never a straight line unless
a=0 or
b=1
But it will approach a horizontal asymptote otherwise, as Reiny suggests.
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