Unit5 Test 5.1-5.4

Front

Back

x = -1

Front

What does MVT stand for in calculus?

Back

Mean Value Theorem

Front

Back

Front

True or False: The function has an absolute minimum.

Back

False

Front

When f'(x) changes from positive to negative, there is(are)...

Back

a maximum.

Front

Define a critical point in calculus.

Back

A critical point is where the derivative f'(x) is zero or undefined.

Front

What is the purpose of the Mean Value Theorem?

Back

It guarantees that there is at least one point c in the interval where the instantaneous rate of change equals the average rate of change.

Front

State the Extreme Value Theorem (EVT).

Back

If a function is continuous on a closed interval, then it has both a maximum and minimum on that interval.

Front

What does it mean if f'(x) > 0 on an interval?

Back

The function f(x) is increasing on that interval.

Front

What does it mean if f'(x) < 0 on an interval?

Back

The function f(x) is decreasing on that interval.