OK. Let's analyze the problem. The problem asks to plot the graph of the functions: a. y=4x-2 b. y=x+5 c. y=2x+4 d. y=3x+3 after building a table where we assign values to x belonging to the set N of natural numbers.
Let's start with building the tables and computing the values of y:
For the function a. y = 4x - 2:
x |
y = 4x - 2 |
0 |
4(0) - 2 = -2 |
1 |
4(1) - 2 = 2 |
2 |
4(2) - 2 = 6 |
3 |
4(3) - 2 = 10 |
For the function b. y = x + 5:
x |
y = x + 5 |
0 |
0 + 5 = 5 |
1 |
1 + 5 = 6 |
2 |
2 + 5 = 7 |
3 |
3 + 5 = 8 |
For the function c. y = 2x + 4:
x |
y = 2x + 4 |
0 |
2(0) + 4 = 4 |
1 |
2(1) + 4 = 6 |
2 |
2(2) + 4 = 8 |
3 |
2(3) + 4 = 10 |
For the function d. y = 3x + 3:
x |
y = 3x + 3 |
0 |
3(0) + 3 = 3 |
1 |
3(1) + 3 = 6 |
2 |
3(2) + 3 = 9 |
3 |
3(3) + 3 = 12 |
Now, let's generate the graphs for each function using Chart.js: