Answer:
The answers to the blanks are:
- 38
- 1/3
The “?” in the table represents the number 38 because the average rate of change on every interval of the function is 1/3.
Step-by-step explanation:
How you can see in the table, after the first values [x=-2, f(x)=5], each time that x add 1, f(x) add 3, (that is the reason why the average rate is 1/3), how you can see below:
2. x = 2 (were added 4 to the first number -2)
f(x) = 17 (were added 12 to the first number 5)
3. x = 5 (were added 3 to the second number 2)
f(x) = 26 (were added 9 to the second number 17)
4. x = 9 (were added 4 to the third number 5)
How in the last column were added 4, you must multiply this value by 3 (remember the average rate), so 4*3 = 12, now:
f(x) = 38 (were added 12 to the third number 26)