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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. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
average rate of change
origin
absolute maximum
constant function
2. To the graph of a function y=f(x) at a point x=a where exists the line through (a -f(a)) with slope f'(a)
tangent line
speed
constant function
decreasing on an interval
3. The reciprocal of the sine function
arccosine function
decreasing on an interval
cosecant function
arctangent function
4. The y-coordinate of a point where a curve intersects the y-axis
cotangent function
integration by substitution
position function
y-intercept
5. A function that possesses a finite integral; the function must be continuous on the interval of integration
closed interval [a -b]
cotangent function
integration
integrable function
6. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
linear approximation
constant function
trapezoidal rule
origin
7. A number which serves as an estimate of a desired number
rate of change
first derivative test
approximation
concave up
8. A function that is defined by applying different formulas to different parts of its domain
sine function
cross-sectional area
piecewise-defined function
secant line
9. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
instantaneous velocity
limit
slope
zero of a function
10. The process by which an antiderivative is calculated
axis of rotation
root of an equation
rate of change
integration
11. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
right-hand sum
slope
cross-sectional area
product rule
12. The point (0 -0) in the Cartesian coordinate plane
differentiability
discontinuity
origin
cosine function
13. The local and global maximums and minumums of a function
relative maximum
right-hand sum
extrenum
continuous function
14. Any x values where f'(x)=0 or is undefined
decreasing on an interval
critical value
middle sum
acceleration
15. The inverse of the cosine function
axis of symmetry
differentiation
arccosine function
antiderivative
16. Local maximums of minimums of a function
optimization
local extrema
concave up
secant line
17. A function that is continuous at every point on the interval
antiderivative
instantaneous velocity
dy/dx (Leibniz notation)
continuity on an interval
18. Any function closely related to the exponential function - and in particular y=a^x - for any a
cross-sectional area
minimum
product rule
exponential function
19. A line around which some body or curve rotates
axis of rotation
instantaneous velocity
x-axis
inflection point
20. 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
continuity at a point
product rule
zero of a function
first derivative test
21. In an application - maximizing or minimizing some aspect of the system being modeled
limit
normal line
y-intercept
optimization
22. 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
right-hand sum
tangent function
coefficient
relative minimum
23. For all x in [a -b] - f'(x)<0
decreasing on an interval
instantaneous rate of change
relative minimum
normal line
24. Any ordered pair (x -y) where f'(x)=0 or is undefined
critical point
optimization
local linearization
inflection point
25. Either of the endpoints of an interval over which a definite integral is to be evaluated
differentiation
limit of integration
x-intercept
integration
26. A function has a relative minimum if the derivative changes signs from negative to zero to positive
differentiability
product rule
relative minimum
continuous function
27. The rate of change of position with respect to time
secant function
concave down
rate of change
velocity
28. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
discontinuity
constant of integration
sine function
limit
29. 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.
trapezoidal rule
local linearization
extrenum
tangent line
30. Notation used for the first derivative of a function
arccosine function
left-hand sum
dy/dx (Leibniz notation)
minimum
31. A function that is a fixed numerical value for all elements of the domain of the function
coefficient
y-axis
constant function
continuity on an interval
32. A function such that the following is true
continuous function
cross-sectional area
integrable function
x-axis
33. f(-x)= -f(x)
odd function
separable differential equation
prime notation
approximation
34. The x-coordinate of the point where a curve intersects the x-axis
x-intercept
separable differential equation
instantaneous velocity
integration by substitution
35. A method of obtaining the derivative of a composite function
x-intercept
minimum
base (exponential and logarithmic)
chain rule
36. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
integrable function
region (in a plane)
integration by substitution
related rates
37. In periodic functions - the height of the function at the maximum to the middle line
chain rule
middle sum
amplitude
constant of integration
38. The ratio x/r with r being the distance of (x -y) from the origin
cosine function
normal line
origin
acceleration
39. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
local extrema
related rates
indefinite integral
average rate of change
40. The set of all values that can be assumed by the independent variable of a function
domain
acceleration
chain rule
coefficient
41. The rate of change of the velocity with respect to time. the second derivative of a position function
coefficient
discontinuity
average rate of change
acceleration
42. The vertical axis of the Cartesian coordinate system
limit
root of an equation
y-axis
speed
43. The horizontal axis of the Cartesian coordinate system
integration
antiderivative
x-axis
differentiability
44. 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
exponential function
left-hand sum
base (exponential and logarithmic)
tangent line
45. The highest value of a function for each value of the domain
inflection point
cosine function
axis of symmetry
maximum
46. 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.
implicit differentiation
second derivative test
antidifferentiation
optimization
47. A line through two points on the curve
relative maximum
relative minimum
secant line
antiderivative
48. For all x in [a -b] - f'(x)>0
increasing on an interval
arctangent function
chain rule
tangent line
49. A segment from the center of the circle to a point on the circle
absolute minimum
radius of a circle
left-hand sum
absolute maximum
50. The process of finding the derivative of a function
implicit differentiation
domain
right-hand limit
differentiation