Calc AB Unit 4-5 Test Review Vocab & Justifications

Front

What does it indicate when f'(x) changes from positive to negative?

Back

There is a relative maximum.

Front

If an object has a negative velocity and a positive acceleration, what is happening to the object?

Back

The object is slowing down.

Front

If (a,b) is a local maximum, what can be said about f''(a)?

Back

f''(a) is negative.

Front

How many extrema are there if a sign chart shows two changes in direction?

Back

There are 2 extrema.

Front

If f '(3) = 0 and f ''(3) > 0, what can be concluded about f(x)?

Back

There is a local minimum at x = 3.

Front

What is the definition of a relative maximum?

Back

A point where the function value is higher than all nearby points.

Front

What is the definition of a relative minimum?

Back

A point where the function value is lower than all nearby points.

Front

What does it mean if f''(x) > 0 at a point?

Back

The function is concave up at that point.

Front

What does it mean if f''(x) < 0 at a point?

Back

The function is concave down at that point.

Front

What is an inflection point?

Back

A point where the function changes concavity.