Question

Complete the function table below for the function F(x) = 4x - 6.

x 1 2 3 4
F(x) -2
The numbers in the second row of the completed table make an arithmetic sequence.

A. True
B. False
@aum

Answer 1

would it be false @aum

Answer 2

F(x) = 4x - 6
when x = 1, F(x) = 4 * 1 - 6 = -2
when x = 2, F(x) = 4 * 2 - 6 = 2
when x = 3, F(x) = 4 * 3 - 6 = 6
when x = 4, F(x) = 4 * 4 - 6 = 10

The second row is: -2, 2, 6, 10
Th differences are: 2 - (-2) = 4; 6 - 2 = 4; 10 - 6 = 4
The differences are the same and equal to 4.
Therefore, the second row is in arithmetic progression.
So it is True.