Answer :
Answer:
d.) f(x) because it grows slower than g(x)
Step-by-step explanation:
The given table shows the values of two functions, f(x) and g(x), for different values of x. We are asked to determine which function is most likely increasing quadratically.
To determine this, we can compare the rate at which f(x) and g(x) are increasing as x increases. We can calculate the differences between consecutive values to see how much each function is growing.
For f(x):
- The difference between consecutive values of f(x) is: 3, 6, 5, 7, 9
For g(x):
- The difference between consecutive values of g(x) is: 6, 18, 54, 162
Looking at the differences, we can see that the differences for f(x) are increasing by a constant amount (3, 6, 5, 7, 9), which suggests a quadratic relationship. On the other hand, the differences for g(x) are increasing at a much faster rate (6, 18, 54, 162), indicating an exponential relationship.
Based on this analysis, the most likely answer is:
d.) f(x) because it grows slower than g(x)
This is because the differences for f(x) are increasing at a slower rate compared to g(x), which is consistent with a quadratic function. Therefore, f(x) is most likely increasing quadratically.
