Question
Graph the following functions by filling out the X/Y chart using the given inputs
| X | -7 | -6 | -3 | 2 | 9 |
| Y |
Hint:
First, we complete the table by calculating the values of y corresponding to each value of x from the given equation. To make the graph of the function, we draw perpendicular lines, x axis and y axis; then we plot the ordered points in the xy plane and join the points by a smooth curve to get the required graph.
The correct answer is: 0,1,2,3,4
Step by step solution:
The given equation is
Putting x = -7 in the above equation, we get the value of y as
Similarly, putting x = -6, we get
Putting x = -3 we have
Putting x = 2 we have
Finally, putting x = 9, we have
Completing the table, we have
x
-7
-6
-3
2
9
y
0
1
2
3
4
We plot these points on the xy plane
After plotting the points, we join them with a smooth curve to get the graph of the equation.
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. Either way, we need points satisfying the equation to plot its graph.
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| X | ||||
| Y | 9 | 6 | 0 | -3 |
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