Math 110 Exam 2 true and false
f(x) is concave up on the interval (a,b) if f"(x)>0 on (a,b) - Answers -true
f(x) is concave down on the interval (a,b) if f'(x) is decreasing on (a,b) - Answers -true
f(x) has an inflection point at x=c if c in the domain of f(x) and f"(c)=0 - Answers -false
f(x) has a relative minimum at x=c if f"(c)>0 - Answers -false
If the function f is continuous on the interval (closed interval- brackets) (a,b), then f has
an absolute maximum value and an absolute minimum value on (closed interval-
brackets) (a,b) - Answers -true
If demand is unitary when the unit price is p = $4, then revenue will decrease if the unit
price is increased slightly from $5. - Answers -true
If demand is unitary when the unit price is p = $4, then revenue will decrease if the unit
price is increased slightly from $3. - Answers -false
Total revenue is decreasing when the demand is elastic and the price is increased
slightly. - Answers -true
Total revenue is maximized at the equilibrium point. - Answers -false
Total revenue is increasing when the demand is inelastic and the price is increased
slightly. - Answers -true
Total revenue is maximized when the demand is unitary. - Answers -true
If f '(c) = 0, then f has a relative maximum or minimum at x = c. - Answers -false
If f '(x) changes from positive to negative at x = a, then f has a relative maximum at x =
a. - Answers -true
If f '(x) ≥ 0 on (a,b), then f is increasing on the interval (a,b). - Answers -false
If f '(c) does not exist, then f(x) has a critical point at x = c. - Answers -false
f(x) is concave up on the interval (a,b) if f ''(x) > 0 on (a,b). - Answers -true
f(x) is concave up on the interval (a,b) if f '(x) is increasing on (a,b). - Answers -true
f(x) is concave up on the interval (a,b) if f"(x)>0 on (a,b) - Answers -true
f(x) is concave down on the interval (a,b) if f'(x) is decreasing on (a,b) - Answers -true
f(x) has an inflection point at x=c if c in the domain of f(x) and f"(c)=0 - Answers -false
f(x) has a relative minimum at x=c if f"(c)>0 - Answers -false
If the function f is continuous on the interval (closed interval- brackets) (a,b), then f has
an absolute maximum value and an absolute minimum value on (closed interval-
brackets) (a,b) - Answers -true
If demand is unitary when the unit price is p = $4, then revenue will decrease if the unit
price is increased slightly from $5. - Answers -true
If demand is unitary when the unit price is p = $4, then revenue will decrease if the unit
price is increased slightly from $3. - Answers -false
Total revenue is decreasing when the demand is elastic and the price is increased
slightly. - Answers -true
Total revenue is maximized at the equilibrium point. - Answers -false
Total revenue is increasing when the demand is inelastic and the price is increased
slightly. - Answers -true
Total revenue is maximized when the demand is unitary. - Answers -true
If f '(c) = 0, then f has a relative maximum or minimum at x = c. - Answers -false
If f '(x) changes from positive to negative at x = a, then f has a relative maximum at x =
a. - Answers -true
If f '(x) ≥ 0 on (a,b), then f is increasing on the interval (a,b). - Answers -false
If f '(c) does not exist, then f(x) has a critical point at x = c. - Answers -false
f(x) is concave up on the interval (a,b) if f ''(x) > 0 on (a,b). - Answers -true
f(x) is concave up on the interval (a,b) if f '(x) is increasing on (a,b). - Answers -true
