Complete the table of values for f(x)=2x+1 and g(x)=x+5.
x f(x) g(x)
1
2
3
4
Both f(x) and g(x) grow as x gets larger and larger. Which function eventually exceeds the other?
To complete the table of values:
x f(x) g(x)
1 3 6
2 5 7
3 7 8
4 9 9
Both functions f(x) and g(x) grow as x gets larger and larger.
The function f(x) (2x + 1) eventually exceeds the function g(x) (x + 5) because the coefficient of x in f(x) is 2, while the coefficient of x in g(x) is 1. This means that f(x) grows faster than g(x) as x gets larger.