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A Question on a Function
A Question on a Function
Hello!
Why is the function f(x)=(3^(x))+x a strictly increasing function (or only one value of x corresponds to one value of f(x))? How can you tell directly without the graph? Even if there is a graph, how do you know what it looks like?
Thanks!
Re: A Question on a Function
Good questions! At the high school level, we don't need to get into the depth of why the function $3^x$ is strictly increasing. The more rigorous proofs can be done when you learn calculus. For now, just need to know that $a^x$ is increasing if $a>1$, and decreasing if $0<a<1$.
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