Chapter 5.2, Problem 2E

Reminder Round all answers to two decimal places unless otherwise indicated.

The Role of the Coefficient in Power Functions with a Negative Power Consider the family of power functions $f\left(x\right)=c{x}^{-2}$. On the same screen, make graphs of $f$ versus $x$ for $c=1$, $c=2$, $c=3$ and $c=4$. We suggest a horizontal span of 0 to 5. A table of values will be helpful in choosing a vertical span. On the basis of the plots you make, discuss the effect of the coefficient $c$ on a power function when the power is negative.