The functions and are related by the equation . Which sequence of transformations will take the graph of to the graph of ?

The function is linear. Can be an odd function? Explain how you know.

Technology required. The function is given by . Kiran says that is odd because . 

1. Do you agree with Kiran? Explain your reasoning.
2. Graph , and use the graph to decide whether or not is an odd function. 

Here are graphs of three functions , , and given by , and .

Graph of three functions on coordinate plane, no grid. Horizontal x axis from negative 2 to 4, by 2’s. Vertical y axis from 0 to 30, by 10’s. Green function, top, passes through negative 2 comma 27, negative 1 comma 12, 0 comma 3, 1 comma 0, 2 comma 3, 3 comma 12 and 4 comma 27. Blue function, center, passes through negative 2 comma 18, negative 1 comma 8, 0 comma 2, 1 comma 0, 2 comma 2, 3 comma 8 and 4 comma 18. Black function, bottom, passes through negative 2 comma 9, negative 1 comma 4, 0 comma 1, 1 comma 0, 2 comma 1, 3 comma 4, and 4 comma 9.

Identify which function matches each graph. Explain how you know.

Technology required. Describe how to transform the graph of into the graph of . Check your response by graphing and .

Let be the price of a T-shirt, in dollars. A company expects to sell  T-shirts a day where  . Write a function  giving the total revenue received in a day.

A population of 80 single-celled organisms is tripling every hour. The population as a function of hours since it is measured, , can be represented by .

Which equation represents the population 10 minutes after it is measured?