AP Review 1

If f '(x) is positive, then 

• the function is increasing
• the function is decreasing
• the function is concave up
• the function is concave down 

If f(x) is concave up, what can we determine about a linear approximation of a value?

• It is an overestimate
• It is an underestimate

If f(x) is concave down, what can we determine about a linear approximation of a value?

• It is an overestimate
• It is an underestimate

True or False: Differentiability implies continuity 

• True
• False

True or False: Continuity implies differentiability 

• True
• False

Name the Theorem: If f(x) is continuous on [a,b], then there exists a c in (a,b) such that f(c) is between f(a) and f(b) 

• Fundamental Theorem of Calculus
• Mean Value Theorem
• Rolle's Theorem
• Intermediate Value Theorem

The x values for which f '(x)=0 are called

• relative extrema
• relative minimums
• relative maximums
• critical values

True or False: Speed can be positive or negative

• True
• False

The derivative of position is 

• velocity
• acceleration
• potato 

True or False: Velocity can be positive or negative

• True
• False