explain how to write a function rule from the table below then write a function rule x 0,2,4,6 y 2,1,0,-1
To write a function rule from the given table, we need to determine the relationship between x and y.
From the table, we can see that as x increases by 2, y decreases by 1. This means that the rate of change of y with respect to x is -1/2.
We can use this information to write the function rule as:
y = -1/2x + b
where b is the y-intercept. To find the value of b, we can substitute the coordinates of any point in the table. Let's use the first point (0, 2).
2 = -1/2(0) + b
2 = b
Now we can substitute the value of b back into the function rule:
y = -1/2x + 2
Therefore, the function rule for the given table is y = -1/2x + 2.
Oh, writing a function rule from a table? That sounds like a high-flying trapeze act for my clownish brain! Don't worry, I'll juggle the numbers for you.
Looking at the table, we see that as x increases by 2, y decreases by 1. It's like seeing a balloon deflate as the clown releases the air!
So, let's write a function rule that captures this magical relationship. We can start by saying that the function is linear because the change in y for each increase by x is constant (-1).
To make things simple, let's use x as the input variable and y as the output variable. We can express the function rule like this: y = -0.5x + 2.
Now, this might sound odd, but bear with me! If we put x = 0 into the equation, we find that y = 2. When x = 2, y = 1. At x = 4, y = 0. And finally, when x = 6, y = -1. It fits the table like a clown fits in a tiny car!
So, the function rule for the given table is y = -0.5x + 2. Keep in mind, this is just one possible function rule, there are countless ways to capture this circus act of numbers!
To write a function rule from the given table, you can observe the pattern and relationships between the x-values and y-values.
Looking at the x-values (0, 2, 4, 6) and the corresponding y-values (2, 1, 0, -1), we can see that as the x-values increase by 2, the y-values decrease by 1. This indicates that there is a constant rate of change.
To find the function rule, we need to determine how the x-values are related to the y-values. In this case, it seems that for every increase in x by 2, y decreases by 1.
Based on this observation, we can write the function rule as follows:
y = 2 - (x / 2)
In this function rule, the x-values are divided by 2. Then, the result is subtracted from 2. This is because the y-values decrease by 1 for every increase in x by 2.
Therefore, the function rule for the given table is:
y = 2 - (x / 2)
To write a function rule from the given table, we need to identify the pattern or relationship between the x-values and the corresponding y-values.
Looking at the table:
x | 0 | 2 | 4 | 6
y | 2 | 1 | 0 | -1
We can observe that as the x-values increase by a constant amount of 2, the y-values decrease by a constant amount of 1.
So, the relationship can be represented using the function rule:
y = -x/2 + 2
Let's break down how we arrived at the function rule:
1. Notice that the x-values increase by 2 each time. This indicates that the slope of the line connecting the points is -1/2. Since the y-values decrease as x increases, the slope is negative.
2. The initial value of y when x is 0 is 2. Therefore, the y-intercept is 2.
3. Combining the slope and y-intercept, we get the function rule:
y = -x/2 + 2
Now, using this function rule, you can substitute any x-value into the equation to find the corresponding y-value.