Sketch the graphs of $y = -x^{-2}$ and $y = 2x^{-7}$. The graph of $y =- x^{-2} $ is given by:

Question

Sketch the graphs of $y = -x^{-2}$ and $y = 2x^{-7}$. The graph of $y =- x^{-2} $ is given by: The graph of $y =2 x^{-7} $ is given by:

Accepted Answer

$y=-x^{-2}$: two branches below the $x$-axis, symmetric about the $y$-axis. $y=2x^{-7}$: branches in quadrants I and III, symmetric about the origin. Both have asymptotes $x=0$ and $y=0$. Sketches in the working.

Graphs of negative power functions

Graphs of negative power functions

Solution:

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