Compare the linear function and the arithmetic sequence below.
Linear Function:
x y
-1 10
0 14
1 18
2 22
The rate of change of the linear function is
11 answers
4.
The y-intercept of the linear function is
6.
The y-intercept of the linear function is
A. 0
B. 10
C. -1
D. 14
E. 4
A. 0
B. 10
C. -1
D. 14
E. 4
To find the y-intercept of a linear function, we need to determine the value of y when x equals zero. From the given table, when x is 0, y equals 14. Therefore, the correct answer is D. 14
Arithmetic Sequence (Explicit formula):
an = 14 + 4(n−1)
The rate of change (common difference) of the arithmetic sequence is
an = 14 + 4(n−1)
The rate of change (common difference) of the arithmetic sequence is
4.
The initial value of the arithmetic sequence is
14.
Arithmetic sequences
sometimes
can be represented as a linear function.
sometimes
can be represented as a linear function.
Yes, that is correct. Arithmetic sequences can be represented as linear functions when the terms of the sequence can be expressed as a linear equation in the form y = mx + b. In an arithmetic sequence, the common difference represents the slope (m) of the linear function, and the initial term represents the y-intercept (b).
1 answer