3.2-3.3 Notes Check

Select All: What does Rolle's Theorem find?

• A turning point

• A zero

• A minimum or maximum

• An x-intercept

• Where f(x) = 0

Which is not a condition necessary for Rolle's Theorem?

• f'(a) = f'(b)

• f(x) is continuous on [a, b]

• f(x) is differentiable on (a, b)

• f(a)=f(b)

MVT stands for:

• Most Valued Talent

• Mean Value Theorem

• Multiple Vision Theory

• Mean Violin Theory

What is different about MVT from Rolle's Thm?

• f(x) does not need to be continuous

• We don't need to prove f(a) = f(b)

• the derivative can be a sharp turn

• Nothing

Find the values of x that satisfy MVT for f(x)=2x² on [-3, 4]

• MVT does not apply

• c = 2

• c = 14

• c = 1/2

Find the values of x that satisfy MVT for f(x)= x/(x+2) on [-3, 0]

• MVT does not apply

• c = 2

• c = -1

• c = 4

When is f'(x) positive

• When f(x) is positive

• When f(x) is increasing

• When f(x) = 0

• When f(x) is decreasing

Tags

CCSS.HSF-IF.C.7A

When is f'(x) negative

• When f(x) is negative

• When f(x) is increasing

• When f(x) = 0

• When f(x) is decreasing

Tags

CCSS.HSF.IF.B.4

When is f'(x) = 0

• When f(x) has a turning point

• When f(x) is increasing

• When f(x) = 0

• When f(x) is decreasing

Critical points go into the

• Original Function

• Derivative