Write a rule for the linear function in the table.
x f(x)
1 3
2 2
3 1
4 0
A. f(x) = 4x
B. f(x) = x – 4
C. f(x) = x + 4
D. f(x) = 4 – x
i put b i got it rong and it cant be c so its either a or d i think a
D.
f( x ) = 4 - x
for x = 1
f ( x ) = 4 - 1 = 3
for x = 2
f ( x ) = 4 - 2 = 2
for x = 3
f ( x ) = 4 - 3 = 1
for x = 4
f ( x ) = 4 - 4 = 0
To find the rule for the linear function in the table, we need to observe the pattern between the values of x and f(x).
Looking at the table, we can see that as x increases by 1, f(x) decreases by 1. This tells us that the function has a slope of -1.
The y-intercept, which is the value of f(x) when x equals 0, is 4.
Therefore, the rule for the linear function in the table is:
C. f(x) = x + 4
To find the rule for the linear function in the table, we need to look for patterns or relationships between the values of x and f(x).
By examining the table, we can see that as the value of x increases by 1, the value of f(x) decreases by 1. This suggests that for every increase in x, there is a corresponding decrease in f(x).
If we start with the first row of the table: x = 1, f(x) = 3. We can see that f(x) is equal to 3 minus some value.
By looking at the other data points in the table, we can determine that f(x) = 3 - x.
Thus, the correct answer is B. f(x) = x - 4.