Construct a table of values for -4_<×_<4 & then draw a graph from this tableon a grahp paper. From the graph estimate (i) The value of y, when x=1.5 & (ii) The value of x, when y = 1.2

To construct a table of values for -4 ≤ x ≤ 4, we need to choose certain values of x within this range and then find the corresponding values of y.

Let's select values for x at regular intervals of 1. We start from x = -4 and increment by 1 until we reach x = 4:

x = -4, -3, -2, -1, 0, 1, 2, 3, 4

Now we need to determine the values of y for each x. For example, if the equation is y = 2x - 1, we substitute each x value into this equation to find y:

For x = -4: y = 2(-4) - 1 = -9
For x = -3: y = 2(-3) - 1 = -7
For x = -2: y = 2(-2) - 1 = -5
For x = -1: y = 2(-1) - 1 = -3
For x = 0: y = 2(0) - 1 = -1
For x = 1: y = 2(1) - 1 = 1
For x = 2: y = 2(2) - 1 = 3
For x = 3: y = 2(3) - 1 = 5
For x = 4: y = 2(4) - 1 = 7

Now we can create a table with the values we calculated:

x | y
-------------
-4 | -9
-3 | -7
-2 | -5
-1 | -3
0 | -1
1 | 1
2 | 3
3 | 5
4 | 7

To draw the graph, we plot each point on a graph paper using the x and y values from the table:

Now, we connect the plotted points with a smooth curve:

(i) To estimate the value of y when x = 1.5, we draw a vertical line from x = 1.5 until it intersects the graph. Then, we draw a horizontal line from the intersection point to the y-axis. The value on the y-axis where the horizontal line intersects is the estimated value of y when x = 1.5.

(ii) To estimate the value of x when y = 1.2, we draw a horizontal line from y = 1.2 until it intersects the graph. Then, we draw a vertical line from the intersection point to the x-axis. The value on the x-axis where the vertical line intersects is the estimated value of x when y = 1.2.

Note that the specific equation needs to be given to provide an accurate estimation for both (i) and (ii).