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Test your basic knowledge |
AP Calculus Vocab
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. A function that possesses a finite integral; the function must be continuous on the interval of integration
definite integral
x-axis
second derivative test
integrable function
2. A function has a relative minimum if the derivative changes signs from negative to zero to positive
cotangent function
relative minimum
continuity on an interval
piecewise-defined function
3. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
circle
arccosine function
average rate of change
4. The inverse of the sine function
limit
arcsine function
integrable function
closed interval [a -b]
5. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
integrable function
tangent line
related rates
definite integral
6. The smallest value of a function for each value of the domain
minimum
exponential function
integration by substitution
definite integral
7. An arbitrary constant term in the expression of the indefinite integral of a function
constant of integration
relative minimum
sine function
natural logarithm
8. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
second derivative test
absolute maximum
limit
slope
9. The absolute value or magnitude of velocity
position function
differentiability
speed
secant function
10. f(-x)= -f(x)
sine function
y-axis
odd function
implicit differentiation
11. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.
continuity at a point
continuity on an interval
limit of integration
trapezoidal rule
12. The x-coordinate of the point where a curve intersects the x-axis
continuity at a point
linear function
x-intercept
relative minimum
13. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression
average rate of change
integration
coefficient
slope
14. A number which serves as an estimate of a desired number
definite integral
approximation
second derivative
integrand
15. The local and global maximums and minumums of a function
axis of symmetry
extrenum
x-axis
cotangent function
16. An indefinite integral. an arbitrary constant '+c' is included
antiderivative
secant line
integration by substitution
linear function
17. The y-coordinate of a point where a curve intersects the y-axis
y-intercept
instantaneous velocity
axis of rotation
arctangent function
18. In an application - maximizing or minimizing some aspect of the system being modeled
linear function
acceleration
optimization
average rate of change
19. The limit of f as x approaches c from the right
right-hand limit
minimum
axis of rotation
amplitude
20. A function that is a fixed numerical value for all elements of the domain of the function
first derivative test
integration
constant function
differentiability
21. A function such that the following is true
y-intercept
continuous function
integration by substitution
normal line
22. The differentiation of an implicit function with respect to the independent variable
exponential function
arccosine function
implicit differentiation
axis of symmetry
23. The reciprocal of the sine function
cosecant function
exponential function
origin
separable differential equation
24. Either of the endpoints of an interval over which a definite integral is to be evaluated
critical value
velocity
position function
limit of integration
25. The reciprocal of the tangent function
closed interval [a -b]
integration by substitution
integrable function
cotangent function
26. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
cosecant function
limit of integration
critical point
27. A function that is defined by applying different formulas to different parts of its domain
indefinite integral
position function
separable differential equation
piecewise-defined function
28. In integrating composite function - either using pattern recognition or change of variables to perform the integration
integration by substitution
inflection point
continuous function
radius of a circle
29. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
limit
secant line
region (in a plane)
absolute minimum
30. Any function closely related to the exponential function - and in particular y=a^x - for any a
integrand
trapezoidal rule
secant line
exponential function
31. A line around which some body or curve rotates
minimum
axis of rotation
arccosine function
limit
32. The set of all values that can be assumed by the independent variable of a function
domain
cosine function
absolute maximum
discontinuity
33. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
continuity at a point
absolute maximum
maximum
secant line
34. The process by which an antiderivative is calculated
coefficient
integration
linear approximation
y-intercept
35. A segment from the center of the circle to a point on the circle
y-intercept
radius of a circle
y-axis
limit
36. The rate of change of position with respect to time
cosine function
exponential function
y-intercept
velocity
37. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
trapezoidal rule
average rate of change
sine function
integrand
38. A rectangular sum of the area under a curve where the domain is divided into sub-intervals and the height of each rectangle is the function value at the left-most point of the sub-interval
left-hand sum
integrable function
increasing on an interval
critical point
39. A line through two points on the curve
relative maximum
secant line
root of an equation
axis of rotation
40. The inverse of the cosine function
arccosine function
second derivative
integration by substitution
related rates
41. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
integration by substitution
position function
prime notation
velocity
42. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minumum of the function. if the first derivative changes from positive to zero to negative - then that critical val
first derivative test
natural logarithm
average rate of change
critical value
43. A=x=b
continuity on an interval
closed interval [a -b]
natural logarithm
odd function
44. The process of finding the derivative of a function
extrenum
axis of rotation
differentiation
cosecant function
45. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative
cosecant function
left-hand sum
instantaneous rate of change
indefinite integral
46. The number which - when raised to the power of a given logarithm - produces a given number
base (exponential and logarithmic)
average rate of change
zero of a function
concave up
47. Any x values where f'(x)=0 or is undefined
x-intercept
critical value
local linearization
tangent function
48. If a function has a well-defined derivative for each element of the domain
right-hand sum
absolute minimum
differentiability
related rates
49. The solid figure generated by revolving a plane region around a line
solid of revolution
maximum
left-hand sum
integration by substitution
50. The point (0 -0) in the Cartesian coordinate plane
origin
continuity at a point
coefficient
domain