Question

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

X | -6 | -3 | 0 | 3 | 6 |

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 = -6 in the above equation, we get the value of y as

Similarly, putting X = -3 we get

Putting X = 0 in the above equation, we have

Putting X = 3 in the above equation, we have

Finally, putting X = 6 in the above equation, we have

Completing the table, we get

x

-6

-3

0

3

6

y

0

1

2

3

4

We plot these points on the xy plane.

After plotting the points, we join them with a line 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.

### Related Questions to study

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### Mark has 100 gift card to buy apps for his smart phone .Each week he buys one new app for 4.99

a) Write an equation that relates the amount left on the card ,y , over time x.

b) Make a graph of the function

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. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.

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X | ||||

Y | 9 | 6 | 0 | -3 |

We should always try to rewrite the equation in terms of the variable whose value is given so that it is easy to find the value of the required variable. Then we just need to calculate the values carefully.

### Use the function Y = 1.5X + 3 to complete the table of values.

X | ||||

Y | 9 | 6 | 0 | -3 |

We should always try to rewrite the equation in terms of the variable whose value is given so that it is easy to find the value of the required variable. Then we just need to calculate the values carefully.

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And it is linear if the graph drawn is a straight line.

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We can also check if the relation is a function or not graphically by using the vertical line test. A graph represents a function if any vertical line in the xy plane cuts the graph at maximum one point.

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b) Graph the function and tell whether it is a linear function or non linear function.

There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.

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a) Write a function that relates the distance travelled ,d to the time, .

b) Graph the function and tell whether it is a linear function or non linear function.

There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.

### Do the ordered pairs plotted in the graph below represents a function? Explain.

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### Do the ordered pairs plotted in the graph below represents a function? Explain.

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