Complete the table of values for f(x)=4x+3 and g(x)=4x2.
x f(x) g(x)
0
1
2
3
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:
f(x) = 4x + 3
g(x) = 4x^2
x f(x) g(x)
0 3 0
1 7 4
2 11 16
3 15 36
As x gets larger and larger, the function g(x) = 4x^2 will eventually exceed the function f(x) = 4x + 3. This is because the growth rate of a quadratic function (g(x)) is faster than the growth rate of a linear function (f(x)) as x increases.