exercises math

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graph of functions

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1. (a)By using a scale of 2 cm to represent 1 unit on the x-axis and 2cm to 10 units on the y-axis, draw the graph of y = 3x2-x-4 for -5 x 3.(b) From the graph in (a), find(i) Value of y when x = -2.8(ii) Values of x when y = 12 (c)Draw a suitable straight line on the graph in (a) to find the value of x which satisfies the equation 3x2-9x-64=0 for -5 x 3. State the value of x

2. (a)By using a scale of 2 cm to represent 1 unit on the x-axis and 2 cm to 5 units on the y-axis, draw the graph of y = -2x2-5x-10 for -4.5 x 2.5.(b) From the graph in (a), find(i) Value of y when x = -2.5(ii) Values of x when y = -5 (c)Draw a suitable straight line on the graph in (a) to find the value of x which satisfies the equation 2x2 + 7x = 6 for -4.5 x 2.5. State the value of x

3. (a)By using a scale of 2 cm to represent 1 unit on the x-axis and 2cm to 10 unit on the y-axis, draw the graph of y = x3-5x-12 for -3 x 4.(b) From the graph in (a), find(i) Value of y when x = -2.5(ii) Value of x when y = 20(c)Draw a suitable straight line on the graph in (a) to find the value of x which satisfies the equation x3-13x+4 = 0 for -3 x 4. State the values of x

4. (a)By using a scale of 2 cm to represent 1 unit on the x-axis and 2cm to 10 unit on the y-axis, draw the graph of y = for -4 x 4.(b) From the graph in (a), find(i) Value of y when x = 2,5(ii) Values of x when y = -15 (c)Draw a suitable straight line on the graph in (a) to find the value of x which satisfies the equation 8x2 +2x = 40 for -4 x 4. State the value of x

5. (a)By using a scale of 2 cm to represent 1 unit on the x-axis and 2cm to 10 unit on the y-axis, draw the graph of y = 3x3+4x2-20x+6 for -4x3.(b) From the graph in (a), find(i) Value of y when x = 2.5(ii) Values of x when y = 12 (c)Draw a suitable straight line on the graph in (a) to find the value of x which satisfies the equation 3x3+ 4x2 -9x -64 = 0 for -4 x 3. State the value of x

6. (a)By using a scale of 2 cm to represent 1 unit on the x-axis and 2cm to 5 unit on the y-axis, draw the graph of y = 15 + 9x -2x2 for-2x6.(b) From the graph in (a), find(i) Value of y when x = 1.5(ii) Values of x when y = 20 (c)Draw a suitable straight line on the graph in (a) to find the value of x which satisfies the equation 10 + 9x -2x2 =0 for -2 x 6. State the value of x