1.
A critical point of a function f is a point at which -> f ' is zero or undefined
True
False

2.
Which of the following statements about the function
is true? -> x = 0 is the only critical point of f .
True
False

3.
An inflection point of a function f is a point at which -> f " is zero or undefined
True
False

4.
Which of the following statements about the function f (x ) = 4( x - 1 ) - 8 is true? -> x = 1 is the only inflection point of f .
True
False

5.
A maximum value of a function f is -> a y -value that is bigger than every nearby value of f .
True
False

6.
How many minima does the function f (x ) = -5cos x have? -> one
True
False

7.
x = c is a critical point of the function f . The sign of f ' is negative to the left of c and positive to the right of c . Which of the following statements is true? -> A minimum value of f occurs at x = c .
True
False

8.
x = c is a critical point of the function f . If f "(c ) = 0, which of the following statements is true? -> The second derivative test says nothing at all about what occurs at x = c .
True
False

9.
If the derivative of a function f is f '(x ) = ( x - 2 )(x + 5), which of the following statements is true? -> f has a minimum at x = 2 and a maximum at x = -5.
True
False

10.
The derivative of the function f is

f '(x ) = 4x + 8

Which of the following statements is true? -> f has a minimum at x = 2.
True
False