The linear function can be written as y = 4x + 14.
The rate of change of the linear function is the coefficient of x, which is 4.
The y-intercept of the linear function is the y-value when x = 0, which is 14.
Arithmetic sequence:
-1, 0, 1, 2
In an arithmetic sequence, each term is obtained by adding a common difference to the previous term.
The common difference in this arithmetic sequence is 1.
Comparing the linear function and the arithmetic sequence:
In the linear function, the rate of change is constant and equal to 4. In the arithmetic sequence, the common difference is 1, which means that each term increases by 1 from the previous term. So, the rate of change in the linear function is greater than the rate of change in the arithmetic sequence.
In the linear function, the y-intercept is 14. In the arithmetic sequence, there is no y-intercept as it represents a sequence of x-values.
Overall, the linear function and the arithmetic sequence differ in terms of their rate of change and the concept of a y-intercept.
compare the linear function and the arithmetic sequence below.
linear function
x
-1,0,1,2
y
10,14,18,22
the rate of change of the linear function is
the y intercept of the linear function is
1 answer