Given that the function is
We need to determine the average rate of change over the interval 
<u>Value of f(x) when x = 0:</u>
Substituting x = 0 in the function
, we have;



Thus, the value of f(0) is 7.
<u>Value of f(x) when x = 5:</u>
Substituting x = 5 in the function
, we have;



Thus, the value of f(5) is 2.
<u>Average rate of change:</u>
The average rate of change can be determined using the formula,

where
and 
Thus, we have;




Thus, the average rate of change over the interval
is -1.
Answer:
Step-by-step explanation:
Legislative—Makes laws (Congress, comprised of the House of Representatives and Senate) Executive—Carries out laws (president, vice president, Cabinet, most federal agencies) Judicial—Evaluates laws (Supreme Court and other courts)
Answer:
B
Step-by-step explanation:
The differences in the terms of f(x) are + 3, + 5, + 7
Since the differences are not constant the relationship is not linear
Note the differences in the differences are + 2, + 2,
The second differences are constant indicating a quadratic relationship
Note the relationship between x and f(x)
x = 1 → 1² = 1 ← require to add 5, that is 1 + 5 = 6 ← value of f(x)
x = 2 → 2² = 4 ← require to add 5, that is 4 + 5 = 9 ← value of f(x)
x = 3 → 3² = 9 ← require to add 5, that is 9 + 5 = 14 ← value of f(x)
x = 4 → 4² = 16 ← require to add 5, that is 16 + 5 = 21 ← value of f(x)
Thus f(x) = x² + 5 → B