Calculator Skills 2 INPUT EACH EQUATION INTO YOUR CALCULATOR AND PRESS GRAPH THEN FIND THE ORDERED PAIR SOLUTION HOLD UP YOUR CACLULATOR WHEN YOU HAVE THE SOLUTION y = 3x 6 y = 2x + 4 • • • • • • INPUT INTO y1 AND y2 GRAPH 2ND TRACE (CALC) 5 (INTERCEPT) ENTER, ENTER, ENTER (2,0) • y1 = 3x 6 y2 = 2x + 4 4x – 2y = 8 y = 7x + 5 • • • • • • INPUT INTO y1 AND y2 GRAPH 2ND TRACE (CALC) 5 (INTERCEPT) ENTER, ENTER, ENTER (1, –2) • y1 = (8 – 4x)/ – 2 y2 = 7x + 5 3x + 6y = 12 y 3 = 2(x 2) (1.2 , 1.4) • y1 = (12–3x)/6 • y2 = 2(x 2) + 3 y + 1 = 4(x 2) y = 6x 10 (.5 , –7) • y1 = 4(x 2) – 1 • y2 = 6x 10 5x – y = 2 –x+y= 2 (1 , 3) • • y1 = (2– 5x)/ – 1 y2 = (2 + x)/1 2x + 2y = 6 – 2x + 3y = –1 (2, 1) • • y1 = (6 – 2x)/ 2 y2 = (–1 + 2x)/ 3 – 2y – 2x = – 8 2y – 3x = – 2 LOOK AT WHERE THE “X” AND “Y” ARE LOCATED IN PROBLEM (2, 2) • y1 =( – 8 +2x )/–2 y2 =( – 2 + 3x)/ 2 4y = 3x – 2 3x + 2y = – 10 (–2, –2) • • y1 = (– 2+3x)/4 y2 = (– 10 –3x)/2 4x + (–2y) + x = 2 6x + 2y = – 4 (-.181818, –1.454545) • • y1= (2 – 4x –x)/ –2 y2 = (– 4 – 6x)/2 2x + 2y ≤ 6 y≥x+1 • FOR INEQALITIES INPUT EQ. INTO y1 AND y2 • USE LEFT SCROLL ARROW TO MOVER CURSER TO EXTREME LEFT • PRESS ENTER UNTIL YOU GET THE UP RIGHT TRIANGLE ( GREATER THAN) • OR PRESS ENTER UNTIL YOU GET THE DOWN RIGHT TRIANGLE (LESS THAN) • PRESS GRAPH • LOOK FOR DOUBLE SHADED REGION • FIND POINT OF INTERSECTION Left double shaded with (1,2) intercept • • y ≤ (6 – 2x)/2 y≥x+1 x≥ –y+2 y – 3x < 2 • REMEMBER TO REVERSE (OR FLIP ) THE INEQUALITY WHEN DIVIDING OR MULTIPLYING BY A NEGATIVE “–” NUMBER SHADED LEF: (0,2) • y1 ≤ (x – 2)/ –1 • y2 < (3x+ 2) 3x + 2y > 6 y < 2(x – 2) SHADED RIGHT: (2,0) • y1 > (6 – 3x)/2 y2 < 2(x – 2) y – 3 ≤ 2(x – 1) x > – 2(y – 1) Upper Right double shaded: (0,1) • y1 ≤ 2(x – 1) + 3 • y2 > (x – 2)/–2 2y ≥ – 2x + 4 – y – 3 > 2(x – 4) TOP LEFT DOUBLE SHADED: (3, – 1) • y1 ≥ (– 2x + 4)/2 • y2 < (2(x – 4) + 3)/ –1 – 3x + 2y ≤ 3 y>–3 REMEMBER: SINCE NO “x” IN SECOND INEQALITY, JUST PLACE –3 INTO y2 TOP RIGHT DOUBLE SHADED: (–3, –3) • y1 ≤ (3 +3x)/2 • y2 > – 3 • END