Question

# Graph the following functions by filling out the X/Y chart using the given inputs

X | -9 | -8 | -5 | 0 | 7 |

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 = -9 in the above equation, we get the value of y as

Similarly, putting x = -8, we get

Putting x = -5 we have

Putting x = 0 we have

Finally, putting x = 7, we have

Completing the table, we have

x

-9

-8

-5

0

7

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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