The graph of the function f(x) = 4/x² is in the image at the end.
How to sketch the graph?
We want to sketch the graph of the function:
f(x) = 4/x²
To sketch the graph, we need to find some values or key features.
First, we can see that at x = 0 we have a vertical asymptote. Because x is squared, both asymptotes tend to positive infinity.
Also notice that when x = 2 and -2 we have:
f(±2) = 4/(±2)² = 1
So we also have the points (2, 1) and (-2, 1)
And for± 1 we have:
f(±1) = 4/(±1)² = 4
So we have (1, 4) and (-1, 4)
With these points we can sketch the graph you can see below, just plot all the points you got, and draw a line that passes through them.