AP Calculus BC Unit 2 Progress Check MCQ Part A CORRECT 100%(RATED A+)

AP Calculus BC Unit 2 Progress Check
MCQ Part A CORRECT 100%(RATED
A+)
1.
X|0|1
F(x) | 1 | 2

Let f be the function given by f(x) = 2^(x^2). Selected values of f are given in the
table above. If the values in the table are used to approximate f'(0.5), what is the
difference between the approximation and the actual value of f'(0.5)?

A. 0
B. 0.176
C. 0.824
D. 1 - ANSWERB. 0.176

Selected values of a function f are shown in the table above. What is the average
rate of change of f over the interval [1, 6]?

A. (6-1)/[10-(-3)]
B. [10 + (-3)]/(6+1)
C. [10-(-3)]/(6-1)
D. [(-3) + (-1) + 1 + 2 + 5 + 10]/6 - ANSWERC. [10-(-3)]/(6-1)

4. The graph of the function f, shown above, consists of three line segments. What is
the average rate of change of f over the interval 1 < x < 7? (Should be less than or
equal to)

A. -2
B. 0
C. 1/3
D. 3 - ANSWERB. 0


2. Let f be the function given by f(x) = (1/7)x^7 - (7/6)x^6 + 3x^5 - (5/4)x^4 - (16/3)x^3
+ 6x^2. Which of the following statements is true?

A. f'(-1.1) < f'(0.5) < f'(1.4)
B. f'(-1.1) < f'(1.4) < f'(0.5)
C. f'(0.5) < f'(1.4) < f'(-1.1)
D. f'(1.4) < f'(0.5) < f'(-1.1) - ANSWERD. f'(1.4) < f'(0.5) < f'(-1.1)

3.
X|1|2|3|4|5|6
f(x) | -3 | -1 | 1 | 2 | 5 | 10