Recent questions in Algebra II
Exponential models

### In addition to quadratic and exponential models, another common type of model is called a power model. Power models are models in the form yˆ=a⋅xp. Here are data on the eight planets of our solar system. Distance from the sun is measured in astronomical units (AU), the average distance Earth is from the sun. $$\begin{array}{|l|c|c|} \hline \text { Planet } & \begin{array}{c} \text { Distance from sun } \\ \text { (astronomical units) } \end{array} & \begin{array}{c} \text { Period of revolution } \\ \text { (Earth years) } \end{array} \\ \hline \text { Mercury } & 0.387 & 0.241 \\ \hline \text { Venus } & 0.723 & 0.615 \\ \hline \text { Earth } & 1.000 & 1.000 \\ \hline \text { Mars } & 1.524 & 1.881 \\ \hline \text { Jupiter } & 5.203 & 11.862 \\ \hline \text { Saturn } & 9.539 & 29.456 \\ \hline \text { Uranus } & 19.191 & 84.070 \\ \hline \text { Neptune } & 30.061 & 164.810 \\ \hline \end{array}$$ Use the PwrReg command on your graphing calculator to find a power model relating y = period to x = distance.

Exponential models

### Sketch a graph of the function. Use transformations of functions whenever possible. $$\displaystyle{f{{\left({x}\right)}}}=-{\left|{x}\right|}$$

Polynomial graphs