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?

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

Answer 1

Based on the given table, the function g(x) is most likely increasing exponentially.

Step-by-step explanation:

Based on the given table, the function g(x) is most likely increasing exponentially.

To determine this, we can look at the values of f(x) and g(x) for different values of x.

For f(x), the values increase by 3, 5, 7, 9, which suggests a linear relationship.

On the other hand, for g(x), the values increase by 3, 9, 27, 81, which suggests an exponential relationship.

Therefore, g(x) is most likely increasing exponentially.