Question

The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function and the other is an exponential function. Which function is most likely increasing exponentially?

Answer 1

x f(x) g(x)
1 3 3
2 6 9
3 11 27
4 18 81
5 27 243

f(x) because it eventually exceeds g(x)

g(x) because it eventually exceeds f(x)

f(x) because it eventually intersects g(x)

g(x) because it will not intersect f(x)

Answer 2

f(x) = x^2 + 2
g(x) = 3^x

That should answer the question.