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Test your basic knowledge |
AP Calculus Ab
Start Test
Study First
Subjects
:
math
,
ap
,
calculus
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Graph is symmetrical with respect to the origin; f(-x)=-f(x)
natural logarithm
cross sectional area
odd function
critical point
2. Amount of change / time it takes (amount of change/ length of interval)
instantaneous velocity
constant function
average rate of change
right hand sum
3. If f is continuous on [a -b] then at some point - c in [a -b] - f(c)= (1/(a-b))*?f(x)dx (with bounds a -b)
axis of symmetry
Total change Theorem
right hand sum
mean value theorem for definite integrals
4. A measure of how a function changes as its input changes.
related rates
parallel curve
derivative
differential equation
5. Selection of a best element from some set of available alternatives.
law of cosine
right hand limit
optimization
exponential function
6. The value of the function at a critical point
Total change Theorem
partition of an interval
critical point
critical value
7. sinA/a=sinB/b=sinC/c
infinite limit
parallel curve
law of sines
normal line
8. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
Radian
cartesian coordinate system
power series
second derivative test
9. A function that can be graphed w/ a line or smooth curve
continuous function
continuity on an interval
exponential growth and decay
absolute maximum
10. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point - L(x) = f(a) + f'(a)(x - a)
acceleration
continuous function
parallel curve
linear approximation
11. A function whose domain is divided into several parts and a different function rule is applied to each part
piecewise defined function
concave down
even function
limit at infinity
12. The integral of a rate of change is called the total change: ?(from a to b) F'(x)dx = F(b)-F(a) -find anti-derivatives
differentiability
instantaneous rate of change
right hand sum
Total change Theorem
13. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions
critical point
transcendental function
continuity at a point
continuity on an interval
14. A function is locally linear at x = c if the graph fo the function looks more and more like the tangent to the graph as one zooms in on the point (c - f(c))
local linearity
conic section
numerical derivative
piecewise defined function
15. The limit of f as x approaches c from the right
removable discontinuity
right hand limit
differential
domain
16. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
acceleration
first derivative test
definite integral
bounded above
17. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
integration by substitution
root of an equation
first derivative test
trapezoidal rule
18. Ratio between the length of an arc and its radius
definite integral
removable discontinuity
Radian
right hand limit
19. dy/dx
parameter
leibniz notation
conic section
difference quotient
20. If a function is on the closed interval [a - b] and F is an antiderivative (?) of f on [a -b] then ?f(x) dx from a to b is F(b) - F(a)
cross sectional area
Fundamental theorem of calculus
average rate of change
circular function
21. A function that is continuous on both the left and right side at that point
instantaneous velocity
extreme value theorem
continuity at a point
law of sines
22. The process of evaluating an indefinite integral
Antidifferentiation- check
law of sines
second derivative test
differentiation
23. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x
order of a derivative
absolute minimum
local linearity
inflection point
24. Let f(x) be a function continuous on the closed interval [a -b]. If N is any real number between f(a) and f(b) - then there is at least one real number c between a and b such that f(c)=N
Intermediate value theorem
axis of symmetry
amplitude
law of sines
25. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit
parallel curve
complex number
extremum
left hand sum
26. A surface or shape exposed by making a straight cut through something at right angles to the axis.
amplitude
complex number
Mean Value theorem for derivatives
cross sectional area
27. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
parameter
absolute minimum
concave down
linear approximation
28. (geometry)A curve generated by the intersection of a plane or circular cone
conic section
piecewise defined function
left hand limit
linear approximation
29. Dividing an interval into n sub-intervals
partition of an interval
Algebraic function
integration by substitution
trapezoidal rule
30. Functions of angles
circular function
integration by substitution
exponential growth and decay
differentiability
31. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
Fundamental theorem of calculus
complex number
second derivative test
differentiability
32. The smallest y-value of the function
circular function
average rate of change
differential
absolute minimum
33. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0
concave up
limit of integration
integrand
logarithm laws
34. Intervals on which the second derivative is negative
critical value
Antidifferentiation- check
continuity at a point
concave down
35. A line that divides a figure in half so that each half is the mirror image of the other.
odd function
extreme value theorem
concave down
axis of symmetry
36. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1
power series
exponential growth and decay
removable discontinuity
bounded
37. A function that is continuous at every point on the interval
leibniz notation
continuity at a point
continuity on an interval
natural logarithm
38. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)
logarithmic function
transcendental function
related rates
numerical derivative
39. The inverse of an eponential function
logarithmic function
critical point
partition of an interval
parameter
40. A variable occurring in a function - but on which the value of the function does not depend
continuity on an interval
extreme value theorem
dummy variable of integration
limit of integration
41. Having the limits or boundaries established
integrand
bounded
average rate of change
circular function
42. A function F is called an __________ of a function f on a given open interval if F'(x) = f(x) for all x in the interval - Add + c at the end
differential equation
right hand sum
law of sines
antiderivative
43. A point where a function changes concavity; also - where the second derivative changes signs
Total change Theorem
bounded
derivative
inflection point
44. The value of the function approaches as x increases or decreases without bound
Algebraic function
initial condition
limit at infinity
implicit differentiation
45. The reciprocal of the sine function
amplitude
conic section
endpoint extremum
cosecant function
46. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation of an x-intercept of the graph
logarithmic function
root of an equation
removable discontinuity
derivative
47. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
absolute maximum
differential equation
end behavior
first derivative test
48. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].
infinite limit
extreme value theorem
dummy variable of integration
absolute maximum
49. Either of the endpoints of an interval over which a definite integral is to be evaluated
dummy variable of integration
constant function
absolute value
limit of integration
50. If there is some number B that is greater than or equal to every number in the range of f
extreme value theorem
bounded above
left hand limit
conic section