D Question 5 D The table gives selected values of the continuous function f. 7 8 9 10 f(z) -11 -10 -11 -13 I Can we use the Mean Value Theorem to say the equation f'(x) = 1 has a solution where 7 << 8? O No, since we don't know if f is differentiable over the interval 7 << 8. O Yes, both conditions for using the Mean Value Theorem have been met. O No, since the average rate of change of f over the interval 75 ≤8 isn't equal to 1. Question 6 Let g (2) = 2-2 Can we use the Mean Value Theorem to say that the equation 1 has a solution where 1 < z < 4? QYes, both conditions for using the Mean Value Theorem have been met. No, since the average rate of change of g over the 1 interval 1 ≤ ≤4 isn't equal to O No, since g is not continuous on the interval 1 ≤ ≤4.
D Question 5 D The table gives selected values of the continuous function f. 7 8 9 10 f(z) -11 -10 -11 -13 I Can we use the Mean Value Theorem to say the equation f'(x) = 1 has a solution where 7 << 8? O No, since we don't know if f is differentiable over the interval 7 << 8. O Yes, both conditions for using the Mean Value Theorem have been met. O No, since the average rate of change of f over the interval 75 ≤8 isn't equal to 1. Question 6 Let g (2) = 2-2 Can we use the Mean Value Theorem to say that the equation 1 has a solution where 1 < z < 4? QYes, both conditions for using the Mean Value Theorem have been met. No, since the average rate of change of g over the 1 interval 1 ≤ ≤4 isn't equal to O No, since g is not continuous on the interval 1 ≤ ≤4.
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D
Question 5
The table gives selected values of the continuous function f.
7
8
9
10
f(z) -11 -10 -11 -13
Can we use the Mean Value Theorem to say the equation f'(x) = 1
has a solution where 7 < x < 8?
O No, since we don't know if f is differentiable over the
interval 7 << 8.
O Yes, both conditions for using the Mean Value Theorem
have been met..
O No, since the average rate of change of f over the
interval 75 ≤ 8 isn't equal to 1.
Question 6
Let g (2) == -2
Can we use the Mean Value Theorem to say that the equation
1
has a solution where 1 < x < 4?
2
Yes, both conditions for using the Mean Value Theorem
have been met.
No, since the average rate of change of g over the
1
interval 1 ≤ ≤ 4 isn't equal to
O No, since g is not continuous on the interval 1 <=<4.
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