Question
Consider the function $\frac{x+a}{x+b}$. If $b>a$, show that this function is increasing on $(-\infty,-b)$ and $(-b, \infty)$. If $b<a$, show that this function is decreasing on $(-\infty,-b)$ and $(-b, \infty)$
Step 1
To determine whether the function is increasing or decreasing, we need to find its derivative with respect to $x$. The function is given by: $f(x) = \frac{x+a}{x+b}$ To find the derivative, we can use the quotient rule, which states that if $f(x) = Show more…
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Key Concepts
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