3. Which function rule would help you find the values in the table ?
n 2 4 6
m -8 -16 -24
A) m = -2n
B) m = n - 2
C) m = n - 4
D) m = -4n
2. Explain how to write a function rule from the table below. Then write a function rule.
x 2 4 6
y 1 0 –1
Looks like D to me
For #2, always check to see how much y changes when x changes by a fixed amount. That will give the slope of the line (the coefficient of the x term). Here, when x changes by +2, y changes by -1. So, the slope will be -1/2 and the function rule will look like
y = -1/2 x
But, when x=2, y=1, and -1/2 * 2 = -1
So, we need to add 2 to get to the real values, and
y = -1/2 x + 2
i need answers to the whole functions unit test.
anoymos u just want the answers XD!
can someone tell me all the answers so i can check
To find the function rule that relates the values in the table, we can examine the pattern or the relationship between the given values of n and m.
For the first question, let's consider the values of n and m in the table:
n 2 4 6
m -8 -16 -24
By observing the pattern, we can see that the value of m is equal to -4 times the value of n. Thus, the function rule that relates n and m is:
m = -4n
Hence, the correct answer is (D) m = -4n.
For the second question, we are given the values of x and y in the table:
x 2 4 6
y 1 0 -1
To write a function rule, we need to find the relationship between x and y. By observing the pattern in the table, we can see that the value of y decreases by 1 as the value of x increases by 2.
So, we can conclude that the function rule is a linear relationship, where y is equal to x multiplied by a constant, and then subtracted by another constant.
To find the constants, we can choose any two points from the table. Let's take the points (2,1) and (4,0).
Using these points, we can calculate the slope (m) using the formula:
m = (y2 - y1)/(x2 - x1)
= (0 - 1)/(4 - 2)
= -1/2
Now that we have the slope, we can substitute it into the point-slope form of a linear equation:
y - y1 = m(x - x1)
y - 1 = (-1/2)(x - 2)
y - 1 = (-1/2)x + 1
y = (-1/2)x + 2
Therefore, the function rule for the given table is:
y = (-1/2)x + 2