Question

Consider the functions f(x)=5^x and g(x)=\left (\frac{1}{5} \right )^{x}.
Which function is increasing? Explain how you can tell from their equations

Answer 1

For the function 5^x, the base value is greater than 1 that making it an increasing function compared to (1/5)^x

Exponential functions

Given the expression

• $f(x) = 5^x \ and \ g(x) = (1/5)^x$

The function $f(x) = 5^x$ is increasing while $g(x) = (1/5)^x$ is decreasing. This is determined from the base value.

For the function 5^x, the base value is greater than 1 that making it an increasing function compared to (1/5)^x

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