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Published byHerbert Chase Modified over 6 years ago
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1-A)The graph of the function y =2x is shown below.
If the line is translated 3 units up, which equation will best describe the new line? A y =2x + 3 B y =2(x + 3) E y =2x -3 WE ARE GOING TO USE A TI-82 CALCULATOR TO ANSWER THIS QUESTION. OBJECTIVE 1
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SYMBOL. NOW, LET US GO BACK TO THE PROBLEM 1)PRESS Y= . THEN,
HOW TO DO IT WITH A CALCULATOR(TI-82): 1)PRESS Y= . THEN, ENTER EACH EQUATION. MAKE SURE YOU PUT FRACTIONS IN ( ) USING SYMBOL. 2)PRESS GRAPH. NOW, LET US GO BACK TO THE PROBLEM 3)COMPARE THE GRAPH WITH THE ONE GIVEN IN THE PROBLEM. CALCULATOR: HOW TO GRAPH A GIVEN EQUATION
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THIS ONE LOOKS LIKE 3 UNITS UP!
1-A)The graph of the function y =2x is shown below. If the line is translated 3 units up, which equation will best describe the new line? A y =2x + 3 B y =2(x + 3) DIFFERENT SHAPE! DIFFERENT SHAPE! E y =2x -3 C D A B E DOWN NOT UP! THIS ONE LOOKS LIKE 3 UNITS UP! TOO MANY UNITS UP! OBJECTIVE 1
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f( x) =3x -1 1-B)What is the range of the function
when the domain is {-3, -2, -1} ? A {-9, -6, -3} B {-10, -7, -3} C {-10, -7, -4} D {8, 5, 2} E {-1, 0, 1} WE ARE GOING TO USE A TI-82 CALCULATOR TO ANSWER THIS QUESTION. OBJECTIVE 1
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Y1 TAKES THE PLACE OF f( x)
HOW TO DO IT WITH A CALCULATOR(TI-82): 1)PRESS Y=, ENTER THE RIGHT SIDE OF f( x) =3x -1 IN Y1 . Y1 TAKES THE PLACE OF f( x) 3)ARROW DOWN AND RIGHT TO Ask FOR Indpnt: AND PRESS ENTER. 2)PRESS 2ND , THEN WINDOW. 4)PRESS 2ND , THEN GRAPH. LET US LOOK AT THE PROBLEM AGAIN. 5)ENTER THE DOMAIN {-3, -2, -1} IN X COLUMN. THE CALCULATOR GIVES YOU THE RANGE IN Y COLUMN. CALCULATOR: HOW TO FIND THE RANGE
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HERE f( x) =3x -1 1-B)What is the range of the function
when the domain is {-3, -2, -1} ? A {-9, -6, -3} B {-10, -7, -3} C {-10, -7, -4} D {8, 5, 2} E {-1, 0, 1} NOTE: IF THE DOMAIN INCLUDES FRACTIONS, PUT THEM IN ( )! THE NUMBERS IN THE RANGE WILL BE IN DECIMAL FORM. YOU ENTER THE Domain HERE THE CALCULATOR PUTS THE Range FOR THE GIVEN DOMAIN HERE OBJECTIVE 1
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1-C) Given the relation between X and Y in the table below, What is the value of Y when X= -13?
65 -19 29 26 -35 X Y -1 -7 3 -19 -2 -4 5 -25 we use a TI-82 to find the value of x: 1)Press STAT, 1. Enter the X values in L1 and Y values in L2 . 2) Press 2nd STAT PLOT,1, Enter, ZOOM, 9. It seems that we can draw a straight line through all 4 points. So, we will find a linear relation between Y and X. we do so using a TI-82 STAT feature. 3) Press STAT, right arrow, 5, Enter. 5)Press 2nd TblSet.Change Indpnt to Ask This is the equations of the relation between X and Y Follow step 4 to put the equation in Y1 6) Press 2nd TABLE. Enter –13 for X and notice the value of Y which is 29. 4) Press Y= , VARS, 5, right arrow twice, 7. The correct answer is C. OBJECTIVE N
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CREATED BY R.KHADEM / Adapted by Rene Sandel-Patterson
End-of-Course Test Algebra I THIS IS THE END OF OBJECTIVE 1 REVIEW. YOU NEED TO WORK OUT THE PROBLEMS RELATED TO THIS OBJECTIVE. WE WILL COVER OBJECTIVE 2 NEXT. CREATED BY R.KHADEM / Adapted by Rene Sandel-Patterson
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