# Graphing

The function is

f(x) = 5x^2 / (x^2 + 2)

I need to find the x and y intercepts

all asymptotes and inflection points.

I know only how to do this if I have a closed interval

if you could walk me through this step by step use the

critical number and

f'(x) and f''(x) graph

https://brainmass.com/math/calculus-and-analysis/graphing-functions-inflection-points-55666

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Mathematics, Calculus - Graphing

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The function is f (x) = 5x 2 / (x 2 + 2) . Find x and y intercepts , asymptotes and inflection pts.

I know only how to do this if I have a closed interval. Could you walk me through this step by step use the critical number and f '(x) and f ''(x) graph . Please help me thank you !

Solution : Let's go with step by step procedure : y = 5x 2 / (x 2 + 2)

Step (i) : Finding x - intercept and y - intercept.

Consider our function : y = 5x 2 / (x 2 + 2) which could be rewritten as :

y = =

y - intercept is the point on the curve , where the curve cuts the y - axis.

For at y - axis , x = 0 makes : y = 0

So y - ...

#### Solution Summary

This solution is comprised of a detailed explanation to find the x and y intercepts.