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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 line perpendicular to a tangent line at the point of tangency
continuous function
right-hand sum
normal line
region (in a plane)
2. The vertical axis of the Cartesian coordinate system
y-axis
trapezoidal rule
middle sum
minimum
3. A function such that the following is true
continuous function
secant function
second derivative test
odd function
4. A function has a relative minimum if the derivative changes signs from negative to zero to positive
discontinuity
relative minimum
normal line
secant function
5. 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
limit of integration
critical point
normal line
left-hand sum
6. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
limit
differentiation
axis of rotation
zero of a function
7. 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 midpoint of the sub-interval
concave down
middle sum
integrable function
optimization
8. The function that is integrated in an integral
x-intercept
radius of a circle
integrand
approximation
9. The set of points in a plane that are equidistant from a given point
circle
exponential function
linear function
antidifferentiation
10. 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 right-most point of the sub-interval
domain
right-hand sum
arcsine function
discontinuity
11. The reciprocal of the sine function
concave down
piecewise-defined function
relative minimum
cosecant function
12. 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 or an x-intercept of the graph
discontinuity
root of an equation
circle
implicit differentiation
13. The inverse of the sine function
differentiation
velocity
axis of rotation
arcsine function
14. An arbitrary constant term in the expression of the indefinite integral of a function
inflection point
differentiability
constant of integration
implicit differentiation
15. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
instantaneous rate of change
instantaneous velocity
integration by substitution
critical point
16. 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
arcsine function
continuity at a point
circle
instantaneous rate of change
17. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
normal line
integration
product rule
implicit differentiation
18. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
tangent function
x-axis
extrenum
cross-sectional area
19. Notation used for the first derivative of a function
dy/dx (Leibniz notation)
minimum
solid of revolution
cross-sectional area
20. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
normal line
integrable function
slope
21. A function that can be expressed in the form f(x)=mx+b
linear function
decreasing on an interval
definite integral
average rate of change
22. The x-coordinate of the point where a curve intersects the x-axis
y-intercept
x-intercept
closed interval [a -b]
right-hand sum
23. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
axis of symmetry
cosine function
linear approximation
24. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis
middle sum
slope
axis of rotation
maximum
25. Having an increasing derivative as the independent variable increases - having a positive second derivative
concave up
cosecant function
prime notation
arcsine function
26. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
integrand
absolute minimum
amplitude
local extrema
27. The amount of change divided by the time it takes
position function
product rule
closed interval [a -b]
rate of change
28. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
region (in a plane)
secant function
normal line
slope
29. The process of finding the derivative of a function
absolute maximum
extrenum
constant of integration
differentiation
30. A line around which some body or curve rotates
closed interval [a -b]
velocity
acceleration
axis of rotation
31. A function that possesses a finite integral; the function must be continuous on the interval of integration
arctangent function
inflection point
base (exponential and logarithmic)
integrable function
32. In periodic functions - the height of the function at the maximum to the middle line
arcsine function
amplitude
acceleration
cotangent function
33. The inverse of the cosine function
tangent function
inflection point
arccosine function
y-axis
34. A line through two points on the curve
coefficient
decreasing on an interval
secant line
middle sum
35. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.
inflection point
second derivative test
discontinuity
normal line
36. The reciprocal of the cosine function
secant function
cross-sectional area
radius of a circle
second derivative
37. The function y=lnx is the inverse of the exponential function y=e^x
arcsine function
cosine function
cross-sectional area
natural logarithm
38. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side
origin
limit
tangent function
speed
39. For all x in [a -b] - f'(x)>0
position function
increasing on an interval
absolute maximum
secant function
40. For all x in [a -b] - f'(x)<0
minimum
left-hand sum
decreasing on an interval
prime notation
41. 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.
cosine function
trapezoidal rule
local extrema
radius of a circle
42. The absolute value or magnitude of velocity
speed
prime notation
arctangent function
constant function
43. A segment from the center of the circle to a point on the circle
slope
y-intercept
arcsine function
radius of a circle
44. The ratio x/r with r being the distance of (x -y) from the origin
acceleration
cosine function
odd function
discontinuity
45. The process by which an antiderivative is calculated
prime notation
odd function
integration
minimum
46. The y-coordinate of a point where a curve intersects the y-axis
right-hand sum
optimization
y-intercept
rate of change
47. Any function closely related to the exponential function - and in particular y=a^x - for any a
differentiation
exponential function
relative maximum
integrand
48. The limit of f as x approaches c from the right
decreasing on an interval
chain rule
approximation
right-hand limit
49. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
x-axis
x-intercept
sine function
velocity
50. A point of value of the independent variable at which the value of a fuunction is not equal to its limit as the value of the independent variable approaches that point - or where it is not defined
critical point
discontinuity
limit
approximation