7th Grade Math

Get ConnectED

Slope

PART A BCD E

Multi-Part

Lesson 2

GLE 0706.3.2

Understand and compare

various representations of

relations and functions.

SPI 0706.3.5 Represent

proportional relationships

with equations, tables and

graphs. Also addresses

GLE 0706.1.8.

400 Linear Functions

Main Idea

Use technology to

compare and contrast

graph relationships.

Graphing Technology:

Compare Graphs

You can use a graphing calculator to compare and contrast

relationships of graphs.

Compare and contrast the graphs of y = 5 x and y = 7 x.

Press and enter the function y = 5 x into Y 1.

Then enter y^ =^7 x into Y^2.

Adjust your viewing window. Press and change

the values to allow you to compare the different

graphs.

Finally, graph the

functions by pressing

. Compare and
contrast the graphs.

the Results

1. What happens to the graph of y = 5 x and y = 7 x as the coefficient
   changes in each function? Explain your reasoning.


2. Graph y = 2 x and y = 2 x + 1. What happens to the graph of
   y = 2 x when you add 1 to the function? What would you expect
   to happen if you add 2? subtract 1?


3. What similarities do you notice among all of the functions?
   differences?


4. Graph y = 3 x and y = - 3 x. Compare and contrast the two graphs.


5. MAKE A CONJECTURE Explain in two or more sentences how
   positive and negative coefficients affect the graphs of the
   functions.

391_400_C07_L2_895130.indd 400 12/31/09 4:26 PM