Arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the function that eventually has the greatest value. tiles
3x + 8
4x + 3
x2 + 6
3x
4x
x2
sequence

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To evaluate the functions, set up the table shown below.

x:             -10    -5   0    5    10
y=3x+8:   -22   -7   8   23   38
y=4x+3:   -37  -17   3    23   43
y=x²+6:  106    31   6    31  106
y=3x:      -30   -15   0    15   30
y=4x:      -40   -20  0   20   40
y=x²:      100    25   0   25  100

The function with the least value is y = 4x.
The function with the greatest value is y = x² + 6.

In ascending order, the functions are
4x
4x + 3
3x
3x + 8
x²
x² + 6