Notes with answers - Summit Schools
Notes with answers - Summit Schools Notes with answers - Summit Schools
Your Notes VErTical linE TEST For FuncTionS A relation is a function if and only if no vertical line intersects the graph at more than one point . Function Not a function 1 O y 1 x Example 2 Apply the Vertical Line Test Graph the relations from Example 1. Use the vertical line test to tell whether the relations are functions. a. First, write the relation as a set of ordered pairs. (–2, –1), (–1, 0) , (3, 0), (6, 4) Then plot the points. 1 O y 1 No vertical line contains more than one point so the relation is a function . x 1 O y 1 b. First, write the relation as a set of ordered pairs. (–2, –2) , (1, 0), (2, 2) , (2, 3) Then plot the points. 1 O y 1 The vertical line at x 5 2 contains two different points in the relation. So, the relation is not a function. 26 Lesson 2.1 • Algebra 2 C&S Notetaking Guide Copyright © McDougal Littell/Houghton Mifflin Company x x
Your Notes Homework GraphinG EquaTionS in Two VariablES Step 1 Make a table of values. Write the ordered pairs . Step 2 Plot enough solutions to recognize a pattern . Step 3 Connect the points with a line or a curve . Example 3 Graph an Equation Graph y 5 22x 2 2. Solution 1. Make a table of values . Write the ordered pairs . Choose x 22 21 0 1 2 Evaluate y 2 0 22 24 26 (x, y): (22, 2 ), (21, 0 ), (0, 22 ), (1, 24 ), (2, 26 ) 2. Plot the points. Notice that all the points lie on a line . 3. Connect the points with a line . Observe that the graph represents a function . Checkpoint Complete the following exercises. 1. Graph y 5 x 1 2. 2. Graph y 5 3x 2 1. 1 O y 1 Copyright © McDougal Littell/Houghton Mifflin Company Lesson 2.1 • Algebra 2 C&S Notetaking Guide 27 x 1 O y 1 1 O y 1 x x
- Page 1: 2.1 Your Notes Functions and Their
- Page 5 and 6: Your Notes Homework b. g (x) 5 x 2
- Page 7 and 8: Your Notes Example 2 Classify Lines
- Page 9 and 10: Your Notes 2.4 quick Graphs of line
- Page 11 and 12: Your Notes Example 2 Draw Quick Gra
- Page 13 and 14: Your Notes 2.5 writing Equations of
- Page 15 and 16: Your Notes Homework y 2 y 1 5 m(x 2
- Page 17 and 18: Your Notes The value of k is called
- Page 19 and 20: 2.7 Your Notes Scatter plots and co
- Page 21 and 22: Your Notes Homework Example 3 Use a
- Page 23: Point-slope form y 2 1 5 2(x 2 5) C
Your <strong>Notes</strong><br />
Homework<br />
GraphinG EquaTionS in Two VariablES<br />
Step 1 Make a table of values. Write the ordered pairs .<br />
Step 2 Plot enough solutions to recognize a pattern .<br />
Step 3 Connect the points <strong>with</strong> a line or a curve .<br />
Example 3 Graph an Equation<br />
Graph y 5 22x 2 2.<br />
Solution<br />
1. Make a table of values . Write the ordered pairs .<br />
Choose x 22 21 0 1 2<br />
Evaluate y 2 0 22 24 26<br />
(x, y): (22, 2 ), (21, 0 ), (0, 22 ), (1, 24 ), (2, 26 )<br />
2. Plot the points. Notice that all<br />
the points lie on a line .<br />
3. Connect the points <strong>with</strong> a<br />
line . Observe that the<br />
graph represents a function .<br />
Checkpoint Complete the following exercises.<br />
1. Graph y 5 x 1 2. 2. Graph y 5 3x 2 1.<br />
1<br />
O<br />
y<br />
1<br />
Copyright © McDougal Littell/Houghton Mifflin Company Lesson 2.1 • Algebra 2 C&S Notetaking Guide 27<br />
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O<br />
y<br />
1<br />
1<br />
O<br />
y<br />
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x<br />
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