Complete the table of values for f(x)=x2+5 and g(x)=4x.
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 find the values for f(x) and g(x) at different x values, we can use the given functions:
For f(x) = x^2 + 5,
x f(x)
0 5
1 6
2 9
3 14
For g(x) = 4x,
x g(x)
0 0
1 4
2 8
3 12
Based on the values in the table, it looks like f(x) eventually exceeds g(x) as x gets larger and larger. This is because the value of x^2 grows faster than the value of 4x as x increases.