Question

Use the table to answer the question. Which statement correclty compares the two functions? The average growth rate of j(x) exceeds the growth rate of h(x) between terms 11 and 12, by term 12, j(x) is greater than h(x), the values of j(x) are always less than the values of h(x), or the growth rate of h(x) is always less than the growth rate of j(x)

Answer 1

I don't see the table — could you paste it or upload an image of it? I need the actual values for j(x) and h(x) (especially terms 11 and 12) to pick the correct statement.

If you want to check it yourself, here are the exact steps:

1. Compute the average growth (change) between terms 11 and 12 for each function:
- Δj = j(12) − j(11)
- Δh = h(12) − h(11)
Compare Δj and Δh to decide whether “the average growth rate of j(x) exceeds the growth rate of h(x) between terms 11 and 12.”

2. Check the values at term 12:
- If j(12) > h(12), then “by term 12, j(x) is greater than h(x)” is true.

3. Check all table entries to see if j(x) < h(x) for every term. If so, “the values of j(x) are always less than the values of h(x)” is true.

4. For “the growth rate of h(x) is always less than the growth rate of j(x),” compute each consecutive difference for all listed terms:
- For each n, compare Δj_n = j(n+1)−j(n) and Δh_n = h(n+1)−h(n). If Δh_n < Δj_n for every n in the table, that statement is true.

Send the table and I’ll compute and tell you which statement is correct.