Complete the table of values for f(x)=5x2–6 and g(x)=7x.

Question

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?

Answer 1

To complete the table of values:

x f(x) = 5x^2-6 g(x) = 7x
1 -1 7
2 14 14
3 39 21
4 74 28

As x gets larger and larger, the value of f(x) = 5x^2-6 will eventually exceed the value of g(x) = 7x. This is because the growth rate of the quadratic function f(x) is faster than the growth rate of the linear function g(x).