Lesson Vocabulary

• continuous graph
• discrete graph

Problem 1 Graphing a Function Rule

What is the graph of the function rule y = − 2 x + 1 ? bold italic y equals negative 2 bold italic x plus 1 question mark

• Step 1 Make a table of values.

  x	y = − 2 x + 1 bold italic y equals negative 2 bold italic x plus 1	(x, y)
  − 1 negative 1	y = − 2 ( − 1 ) + 1 = 3 y equals negative 2 open negative 1 close plus 1 equals 3	( − 1 , 3 ) open negative 1 comma 3 close
  0	y = − 2 ( 0 ) + 1 = 1 y equals negative 2 open 0 close plus 1 equals 1	(0, 1)
  1	y = − 2 ( 1 ) + 1 = − 1 y equals negative 2 open 1 close plus 1 equals negative 1	( 1 , − 1 ) open 1 comma negative 1 close
  2	y = − 2 ( 2 ) + 1 = − 3 y equals negative 2 open 2 close plus 1 equals negative 3	( 2 , − 3 ) open 2 comma negative 3 close

• Step 2 Graph the ordered pairs.
• 

✓ Got It?

1. What is the graph of the function rule y = 1 2 x − 1 ? y equals , 1 half , x minus 1 question mark