Solving Equations Using Graphs Worksheet

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Solving equations using graphs
2) Below is the graph of the equation y = x
3
– 2x – 1
1) Below is the graph of the equation y = x
2
– 3x – 2
y
5
y
5
4
4
3
3
2
2
1
1
-2
-1
1
2
-2
-1
1
2
3
4
x
-1
x
-1
-2
-2
-3
-3
-4
-4
-5
-5
By drawing a straight line, find the solutions of the following equations
By drawing a straight line, find the solutions of the following equations:
(i)
= –1
__________________________________
x
3
– 2x – 1
(i) x
2
– 3x – 2 = 0
__________________________________
(ii)
= 2
__________________________________
x
3
– 2x – 1
(ii) x
2
– 3x – 2 = 4
__________________________________
(iii)
= x – 2
__________________________________
x
3
– 2x – 1
(iii) x
2
– 3x – 2 = –3
__________________________________
(iv)
= 1 – 2x
__________________________________
x
3
– 2x – 1
(iv) x
2
– 3x – 2 = –5
__________________________________
(v) x
2
– 3x – 2 = x – 3
__________________________________
(vi) x
2
– 3x – 2 = 1 – ½x __________________________________

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