California Math Triumphs VOL 5b Functions (CALIFORNIA MATH by MACMILLAN

By MACMILLAN

Capabilities & Equations

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Determine if they show a constant or non constant rate of change. Connect the points. /VNCFSPG%PMMBST Number of Years, x x3- 1 . In the third year, Jada earned $26 . Substitute Check 3           Z ZY            Y /VNCFSPG:FBST  for x in the function. y = ( 3 y = 26 )3 - 1 Copyright © by The McGraw-Hill Companies, Inc. Make a function table and a graph for each function. SAVING Fay earns $3 per hour. Check off each step. y = ✔ Understand ✔ Plan ✔ Solve ✔ Check Number of Hours, x 1 2 3 4 5 Amount Earned, y 3 6 9 12 15 Fay earns $ 15 46 after 5 hours of work.

1. Make a function table using the rule y = 2x 2 . 1 2 3 4 5 6 2x2 2 · 12 2 · 22 2 · 32 2 · 42 2 · 52 2 · 62 y 2 8 18 32 50 72 2. Graph the ordered pairs. 3. The rate of change is non constant. The function is nonlinear. The graph should show a smooth curve. 42 Chapter 4 The Relationship Between Graphs and Functions Z    Z Y  
   
   
   
 
  
            Y Copyright © by The McGraw-Hill Companies, Inc. x Example 2 Match y = -3x2 - 1 with its function table and its graph.

Explain. 10 40 10 ___ ___ = 7 x Yes; 10 × x = 7 × 40; 10x = 280; x = 28. Skills, Concepts, and Problem Solving Copyright © by The McGraw-Hill Companies, Inc. Find the value of each variable. 11 k = ___ 12 __ k= 6 12 5 ___ __ = d d= 50 13 13 ___ ___ = z z= 39 14 18 2 = ___ __ j= 4 15 6 12 = __ ___ g= 7 16 8 r = __ ___ r= 32 3 5 14 6 15 g 7 j 16 70 36 4 GO ON Lesson 3-3 Proportional Reasoning 23 Find the value of each variable. 5 4 20 z 24 5 n Solve. 23 ARCHITECTURE The distance from Ginger’s family room to the laundry room is 24 feet.

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