Hi I need help with my math problem. It is:
Name the function rule from the table given.
Table-
X= Y=
-4 4
-2 2
0 0
answers:
y = -x
y = -4
y = 2x
y = x
I do not get how to solve this problem!
Also please do NOT tell me the answer but show me how to solve it. Thanks everybody!
look at the first entry in the table
if x = - 4, y = 4
now look at each rule
1st rule says,
that y = -x ( y equals the neg of x)
2nd rule says,
y = -4 (the value for y is -4)
3rd rule says
y = 2x (y is two times the value of x)
4th rule
y = x (y and x are the same)
since if x = - 4, y = 4 (1st entry)
the rule would be
y = -x
do you understand?
look at the other entries in the table and see how they all follow this rule
I need help finding heighth of a pyramid.
You divide by -1
To identify the function rule from this table, we need to observe the relationship between the values of x and y.
Looking at the table, we can see that as the value of x increases by 2, the value of y decreases by 2. This indicates a linear relationship between x and y.
To find the function rule, we can determine the rate of change or slope. We can arbitrarily choose any two points from the table, for example (-4, 4) and (0, 0).
The formula to calculate the slope is:
Slope = (change in y) / (change in x)
Slope = (0 - 4) / (0 - (-4)) = -4 / 4 = -1
Now that we know the slope is -1, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope is -1, so the equation becomes:
y = -x + b
To find the value of b, we can substitute any point from the table into the equation. Let's use the point (0, 0):
0 = -(0) + b
0 = b
Now that we have the value of b, which is 0, we can write the final equation:
y = -x + 0
Simplifying it, we get:
y = -x
From the given answer choices, the correct function rule for the table is:
y = -x