• Shuffle
Toggle On
Toggle Off
• Alphabetize
Toggle On
Toggle Off
• Front First
Toggle On
Toggle Off
• Both Sides
Toggle On
Toggle Off
Toggle On
Toggle Off
Front

### How to study your flashcards.

Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key

Up/Down arrow keys: Flip the card between the front and back.down keyup key

H key: Show hint (3rd side).h key

A key: Read text to speech.a key

Play button

Play button

Progress

1/25

Click to flip

### 25 Cards in this Set

• Front
• Back
• 3rd side (hint)
 APPLICATIONS OF LINEAR FUNCNTIONS-KEY WORDS LINEAR FUNCTIONS DIRECT VARIATIONS GRAPHS TABLES LINE OF BEST FIT INEQUALITIES SYSTEMS SLOPES INTERCEPTS 1ST OF THREE DISCRIPTOR HIGHLIGHTS-ONE USE LINEAR FUNCTIONS IN MULTIPLE REPRESENTATIONS 2ND DISTRIBUTOR USE THE PROPERTIES OF THE SLOPYE AND Y INTERCEPTS TO WORK WITH GRAPHS, TABLES, AND FUNCTIONS THIRD DISTRIBUTOR USE SYSTEMS OF LINEAR FUNCIONS AND EQUALITES CHARACTERISTICS OF LINEAR FUNCTIONS ALL VARIABLES HAVE A POWER OF 1 SLOPE: CONSTANT RATE OF CHANGE, RATE OF CHANGE IN Y OVER CHANGE IN X RATIO OF RISE OVER RUN-DESGINATIONS M, _X2 -X1 /______B. Y^2-y^1 SLOPE POSITIVE (M>), LINE STLANTS RIGHT LINE SLANTS RIGHT SLOPE IS NEGATIVE (M<0) LINE SLANTS LEFT ABSOLUTE VALUE OF A SLOPE: GREATER THAN 0 ((M} ) > 0 POINT IS (#, O)) ABSOLUTE VALYE OF SLOP: LESS THAN 0, ({M}<0) LINE IS MORE HORIZONTAL INTERCEPTS: WHERE THE GRAPH CROSSES THE X OR Y AXIS X INTERCEOPT: Y-COORDIANTE IS ALWAYS 0 POINT IS (X, 0 )) Y-INTERECEPT,: X-COORDINATE IS ALWAYS 0, POINT IS (0,Y) LINEAR FUNCTION FORM Y=MX+B, M IS THE SLOPE OF THE LINE 3/1 AN DY-INTERCEPT IS (0,5) LINEAR FUNCTION FORM EAMPLE Y=3X+5, SLOPE IS 3/1 AND Y-INTERCEEPT IS (0,5) Y=MX + B DEFINE POINT SLOPE: Y-YSUB1=M(X-XSUB1) M=SLOPE, (XSUB1, Y SUB 1) IS A SPECIFIC POINT =SLOPE, (XSUB1, Y SUB 1) IS A SPECIFIC POINT Y-3=2/3(X+2)...SLOPE=2/3, (-2, 3) EXAMPLE : Y-3=2/3(X- -2) STANDARD AX +BY=C -EXAMPLE 5X+4Y=20 REPREENTATIONS OF LINEAR FUNCTIONS-THIS SECTION WILL PRESENT A SITUATION AND SHOW YOU MULTIPLE REPRESENTATIONS OF LINEAR RELATIONSHIPS LINER FUNCTIONS ARE USED TO MODEL SITUATIONS WHICH INVOLV A CONSTANT RATE OF CHANGE LINEAR FUCTIONS CAN BE USED FOR THE FOLLOWING WHAT: THEY CAN BE MODELED USING ***********CONCRETE MATERIALS, TABLE OF GRAPHS, AND FUNCTIONS EQUATIONS REPRESENTATIONS OF LINEAR FUCNTION-REVIEW AND UNDERSTAND EXAMPLE 5 PAGE 59 DID YOU FINISH THE EXAMPLE 5, READ AND UNDERSTAND THOUOGHYLY? porportional and direct variations equal rations example of proportional and direct variations-EXAMPLE example: a scale model of a proposed building is constructed using the scale 2cm=1.8 m FIND THE CONSTANT OF PROPORTIONALITY AND WRITE A SPECIFIC EQUATIONS EXPRESSING METERS IN TERMS OF CENTIMERTERS: Y/X=1.8 M/2CM 2Y=1.8 X Y=.9X-A CONSTANT PROPORTION OF .P The CONSTANT OF PROPORTIONALITY IS .9 DIRECT VARIATION: A SPECIAL CASE OF A LINEAR FUNCTION WITH Y-INTERCEPT=0 EXAMPLE THE NUMBER OF GALLONS OF GASOLINE USED DEPENDS ON THE NUMBER OF MILES TRAVELED. SUPPOSE A CAR USES 5 GALLOS OF GALLONS OF GASOLINE TO TRAVEL 120 MILES CREATE A TABLE THAT WILL HELP YOU CREATE A FUNCTION FOR THIS SITUATIONS GALLONS=0, MILES, GALLONS= 5, MILES= 120),GALLONS 10, MILES 240) SOLUTIONS TO LAST EXERCISE ON LAST CARD SOLUTION: YOU KNOW THAT IF YOU DON'T TRAVEL YOU DON'T TRAVEL, OYOU DON'T USE THE GASOLINE. fROM THE TABLE IT IS EADY SEE THAT THE AVERAGE RATE OF USAGE IS 24 MILES/GAL. sINCE THIS IS A DIRECT VARIATION, THE FUNCTIONS IS M(G)=24 G OR MIES MILES=24(#GALLONS) 120/5 LINEAR FUNCTIONS TO MODEL DATA- THIS SIMPLY MEANS TO LOOK FOR THE BEST LINE TO GO THROUGH THE DATA. iF YOU ARE LOOKING AT A GRAPH, FIND A RESONALBLE SLOPE AND Y-INTRCEPTS TO WRITE THE FUNCTION IF YOU ARE GIVEN A TAPLE, POLOT THE DATA AND FIND A REASONABLE SLOPE AND Y-INTERCEPT TO WRITE THE FUNCTIONS. YOU ARE GIVEN A TABLE, PLOT THE DAATA AND FIND A REASONABLE SLOPE AND Y-INTERCEPT TO WRITE THE FUNCTION. YOU ARE JUST USING THE SKILLS YOU ALREADY HAVE. SYSTEMS OF LINEAR EQUATIONS AND INAEQUALITES EQUATIONS: YOU HAVE Two EQUATIONS. IF YOU GRAPH THESE LINEAR EQUATIONS, THE POINT OF INTERSECTION IS A COMMON SOLUTION DO EXAMPLES 1-3 IN TEXT MAKE SURE YOU UNDERSTAND ALL CONCEPTS DO YOU UNDERSTAND THE EQUATION ANSWERS, CAN YOU DO THEM YOURSELF?