Topics 5.3-5.5 Review

Choose the statement that is false.

• S1

• S2

• S3

• None of these.

Answer explanation

S1 is false because f'(x) is decreasing in those intervals, not f(x).

Choose the statement that is false.

• S1

• S2

• S3

• None of these.

Answer explanation

S3 is false because f'(x) increases on that interval, not f(x).

Choose the statement that is false.

• S1

• S2

• S3

• None of these.

Answer explanation

S2 is false because g'(x) does not change signs at x = 0.

Choose the statement that is false.

• S1

• S2

• S3

• None of these.

Answer explanation

S2 is false because h'(x) does not have a sign change at x = 3.

Choose the statement that is false.

• S1

• S2

• S3

• None of these.

Answer explanation

S3 is false because p'(x) is decreasing in this interval, not p(x).

Choose the false statement.

• S1

• S2

• S3

• None of these.

Answer explanation

S2 is false because k'(x) is not zero when x = 6.

Choose the false statement.

• S1

• S2

• S3

• None of these.

Answer explanation

S2 is false because m'(6) = 0, so m'(6) is defined. It is m''(6), the derivative of this graph at x = 6, that is undefined due to the sharp turn.

Choose the false statement.

• S1

• S2

• S3

• None of these.

Answer explanation

S2 is false because f'(x) does not have a sign change at x = 5.

The graph of f'(x) is shown here. At which value(s) of x does f have a relative maximum?

• x = 1

• x = 3

• x = -3

• x = -1

Answer explanation

f has a relative maximum at x = 3 because f'(x) changes from (+) to (-) there.

• x = 1

• x = 3

• x = 8

• x = -1

Answer explanation

f has a relative minimum at x = 8 because f'(x) changes from negative to positive there.