Question

show set of data that is a function using at keast 5 domain values and 5 range values it can be shown in a format of your choice SHOW ALL YOUR WORK USING Y=M+B

Answer 1

Sure, here is a set of data that is a function using at least 5 domain values and 5 range values:

```

Domain | Range

------- | --------

-2 | -4

-1 | -3

0 | -2

1 | -1

2 | 0

```

This data can be shown in a table, a graph, or a set of ordered pairs. In this case, we will show it as a table:

```

| Domain | Range |

|---|---|

| -2 | -4 |

| -1 | -3 |

| 0 | -2 |

| 1 | -1 |

| 2 | 0 |

```

We can use the equation y = m + b to find the slope (m) and y-intercept (b) of this function. The slope is calculated by finding the change in y (the range) divided by the change in x (the domain). In this case, the change in y is -4 - (-3) = -1, and the change in x is -2 - 0 = -2. Therefore, the slope is -1/-2 = 1/2. The y-intercept is calculated by finding the value of y when x is 0. In this case, the value of y is -2. Therefore, the y-intercept is -2.

The equation of this function is y = (1/2)x - 2. This function can be graphed by plotting the points in the table and connecting them with a line. The graph of this function is a straight line.

Answer 2

Sure! Here's an example set of data that is a function:

| x | y |

|---|---|

| 1 | 3 |

| 2 | 5 |

| 3 | 7 |

| 4 | 9 |

| 5 | 11 |

To show that this is a function, we need to check that for every value of x, there is only one corresponding value of y. We can see from the table that this is true - for example, when x=2, y=5 and there are no other values of x that give y=5.

To represent this function in the form y=m*x+b, we need to find the values of m and b. We can use the slope-intercept form of a line to do this, which is:

y = m*x + b

where m is the slope of the line and b is the y-intercept (the value of y when x=0).

To find the slope, we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are any two points on the line. Let's use the points (1, 3) and (2, 5):

m = (5 - 3) / (2 - 1) = 2

So the slope of the line is 2.

To find the y-intercept, we can use any point on the line and solve for b. Let's use the point (1, 3):

y = m*x + b

3 = 2*1 + b

b = 1

So the y-intercept is 1.

Now we can write the equation of the line in slope-intercept form:

y = 2*x + 1

To check that this equation matches the values in the table, we can substitute each value of x into the equation and see if we get the corresponding value of y:

When x=1: y = 2*1 + 1 = 3

When x=2: y = 2*2 + 1 = 5

When x=3: y = 2*3 + 1 = 7

When x=4: y = 2*4 + 1 = 9

When x=5: y = 2*5 + 1 = 11

These values match the values in the table, so we have shown that the set of data is a function and we have written its equation in the form y=m*x+b.

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