Complete the table of values for f(x)=2x–2 and g(x)=x+4.

x f(x) g(x)
3
4
5
6
Both f(x) and g(x) grow as x gets larger and larger. Which function eventually exceeds the other?

1 answer

To complete the table of values for f(x)=2x-2 and g(x)=x+4, we substitute the given x values into the respective functions:

x f(x) g(x)
3 4 7
4 6 8
5 8 9
6 10 10

Both f(x) and g(x) grow as x gets larger and larger. By observing the values in the table, we can see that f(x) surpasses g(x) when x is greater than or equal to 6. Therefore, f(x) eventually exceeds g(x).