Calculus I MATH 1512 (4) University of New Mexico (UNM)
Q&A Practice Quiz
1. If (c, f(c)) is a point of inflection of the graph of f, then either
f"(c)=0 or f" is undefined at c
Answer: Points of Inflection
2. Where first derivative is 0 or
undefined Answer: Critical Value
3. Use critical values and END POINTS in the
function Answer: Find absolute extrema
4. If m>n: NO HA
If m=n: HA = co-eff of m/co-
eff of n If m<n: HA: y = 0
Answer: Horizontal Asymptote Rules
5. If f(x) is continuous on [a,b] and differentiable on (a,b), there is
at least one point (x=c) where f'(c)= F(b)-F(a)/b-a
Answer: Mean Value Theorem
6. If f is continuous on [a,b] then f has an absolute maximum and an
absolute minimum on [a,b]. The global extrema occurs at critical
points in the interval or at endpoints of the interval.
Answer: Extreme Value Theorem
7. If f is continuous on [a,b] and k is a number between f(a) and f(b),
then there exists at least one number c such that f(c)=k
Answer: Intermediate Value Theorem
8. If f(x) is continuous on the closed interval [a, b], differentiable on (a,
b), and satisfies f(a) = f(b), then for some c in the interval (a, b), we
have f'(c) = 0 Answer: Rolle's Theorem
9. Find HA: y =
(x+2)/(sqrt(x^2+3)) Answer:
y= +1 and y = -1
10.A pair of equations that define the x and y coordinates of a point in
terms of a
Q&A Practice Quiz
1. If (c, f(c)) is a point of inflection of the graph of f, then either
f"(c)=0 or f" is undefined at c
Answer: Points of Inflection
2. Where first derivative is 0 or
undefined Answer: Critical Value
3. Use critical values and END POINTS in the
function Answer: Find absolute extrema
4. If m>n: NO HA
If m=n: HA = co-eff of m/co-
eff of n If m<n: HA: y = 0
Answer: Horizontal Asymptote Rules
5. If f(x) is continuous on [a,b] and differentiable on (a,b), there is
at least one point (x=c) where f'(c)= F(b)-F(a)/b-a
Answer: Mean Value Theorem
6. If f is continuous on [a,b] then f has an absolute maximum and an
absolute minimum on [a,b]. The global extrema occurs at critical
points in the interval or at endpoints of the interval.
Answer: Extreme Value Theorem
7. If f is continuous on [a,b] and k is a number between f(a) and f(b),
then there exists at least one number c such that f(c)=k
Answer: Intermediate Value Theorem
8. If f(x) is continuous on the closed interval [a, b], differentiable on (a,
b), and satisfies f(a) = f(b), then for some c in the interval (a, b), we
have f'(c) = 0 Answer: Rolle's Theorem
9. Find HA: y =
(x+2)/(sqrt(x^2+3)) Answer:
y= +1 and y = -1
10.A pair of equations that define the x and y coordinates of a point in
terms of a
