options: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
problem_activity: 1. A youth group has a yard sale to raise money for a charity. The group earns $800 but decides to put its money in the bank for a while. The group considers two different banks:
Cool Bank pays simple interest at a rate of 4%, and the youth group plans to leave the money in the bank for 3 years.
Hot Bank pays an interest rate of 3% compounded annually, and the youth group plans to leave the money in the bank for 5 years.
Write a function to represent the amount of money earned at each bank. Then determine how much money the youth group would earn in each situation.
2. If the youth group needs the money quickly, which is the better choice? Explain your reasoning.


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