Graphing+Linear+Functions-Target+E-Compare+It-Extended+Problems

=Target 3E: Graph and compare linear functions=

1) Choose a linear function of the form f(x) = mx + b where m does not equal zero. Then graph the function.

2) Using the same //m// and //b// values in problem 1, graph the function //g//(//x//) = -3mx + b. How is the graph of g related to the graph of f? = =

3) Using the same //m// and //b// values in problem 1, graph the function //h//(//x//) = //mx// + (//b// - 3). How is the graph of //h// related to the graph of //f//?

4) The number of hours of daylight in Dallas, Texas in the the month of March can be modeled by the function f(x) = 0.03x +11.5 where x is the day of the month. What is the domain and range of the graph? The number of hours of darkness can be modeled by the function d(x) = 24 - f)x). Graph both functions on the same coordinate axes and determine the domain and range of d. What does the point where the graphs intersect mean in terms of the number of hours of daylight?