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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. Local maximums of minimums of a function
instantaneous rate of change
local extrema
constant function
circle
2. A line around which a geometric figure is symmetrical
inflection point
separable differential equation
relative maximum
axis of symmetry
3. A line perpendicular to a tangent line at the point of tangency
origin
x-intercept
normal line
continuity on an interval
4. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
circle
secant line
piecewise-defined function
zero of a function
5. 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
optimization
slope
linear approximation
maximum
6. 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.
local linearization
arctangent function
concave down
trapezoidal rule
7. The set of points in a plane that are equidistant from a given point
cotangent function
circle
tangent function
local linearization
8. The vertical axis of the Cartesian coordinate system
base (exponential and logarithmic)
antiderivative
y-axis
trapezoidal rule
9. 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
implicit differentiation
right-hand sum
root of an equation
speed
10. The absolute value or magnitude of velocity
antidifferentiation
speed
axis of symmetry
discontinuity
11. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
rate of change
constant function
limit
decreasing on an interval
12. A function that is a fixed numerical value for all elements of the domain of the function
constant function
tangent line
axis of rotation
separable differential equation
13. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
right-hand limit
tangent line
absolute maximum
differentiation
14. A number which serves as an estimate of a desired number
origin
left-hand sum
approximation
x-axis
15. 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
instantaneous rate of change
second derivative test
coefficient
16. The derivative of the first derivative
secant function
region (in a plane)
second derivative test
second derivative
17. The highest value of a function for each value of the domain
exponential function
antiderivative
continuous function
maximum
18. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
increasing on an interval
absolute minimum
antidifferentiation
critical point
19. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
extrenum
integration
region (in a plane)
chain rule
20. Notation used for the first derivative of a function
closed interval [a -b]
dy/dx (Leibniz notation)
differentiation
arctangent function
21. In integrating composite function - either using pattern recognition or change of variables to perform the integration
integration by substitution
tangent function
optimization
velocity
22. The horizontal axis of the Cartesian coordinate system
integration by substitution
differentiability
slope
x-axis
23. The set of all values that can be assumed by the independent variable of a function
base (exponential and logarithmic)
domain
right-hand limit
increasing on an interval
24. The y-coordinate of a point where a curve intersects the y-axis
y-intercept
constant function
cosecant function
prime notation
25. The function y=lnx is the inverse of the exponential function y=e^x
differentiability
y-intercept
coefficient
natural logarithm
26. The reciprocal of the tangent function
decreasing on an interval
cotangent function
exponential function
position function
27. The rate of change of position with respect to time
concave down
cosine function
linear function
velocity
28. Having a decreasing derivative as the independent variable increases; having a negative second derivative
indefinite integral
continuity on an interval
concave down
middle sum
29. f(-x)= -f(x)
odd function
arccosine function
maximum
local linearization
30. For all x in [a -b] - f'(x)>0
indefinite integral
normal line
integrand
increasing on an interval
31. A function f that gives the position f(t) of a body on a coordinate axis at time t
speed
position function
second derivative test
local extrema
32. A function that is continuous at every point on the interval
radius of a circle
extrenum
axis of rotation
continuity on an interval
33. The inverse of the sine function
arcsine function
linear approximation
antiderivative
maximum
34. Any ordered pair (x -y) where f'(x)=0 or is undefined
axis of symmetry
trapezoidal rule
integrable function
critical point
35. 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)
maximum
axis of rotation
approximation
tangent line
36. 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
maximum
separable differential equation
discontinuity
axis of symmetry
37. The number which - when raised to the power of a given logarithm - produces a given number
y-axis
x-intercept
relative maximum
base (exponential and logarithmic)
38. The ratio x/r with r being the distance of (x -y) from the origin
cosine function
chain rule
instantaneous rate of change
secant line
39. The x-coordinate of the point where a curve intersects the x-axis
x-intercept
solid of revolution
relative minimum
root of an equation
40. In an application - maximizing or minimizing some aspect of the system being modeled
speed
absolute minimum
optimization
y-axis
41. A function that possesses a finite integral; the function must be continuous on the interval of integration
position function
integrable function
linear approximation
definite integral
42. The local and global maximums and minumums of a function
y-intercept
cosecant function
average rate of change
extrenum
43. Any function closely related to the exponential function - and in particular y=a^x - for any a
trapezoidal rule
critical value
exponential function
arccosine function
44. The process of finding the derivative of a function
slope
related rates
differentiation
maximum
45. An indefinite integral. an arbitrary constant '+c' is included
limit of integration
antiderivative
exponential function
relative maximum
46. In periodic functions - the height of the function at the maximum to the middle line
axis of rotation
right-hand limit
implicit differentiation
amplitude
47. A=x=b
critical value
normal line
closed interval [a -b]
radius of a circle
48. The reciprocal of the sine function
speed
second derivative test
natural logarithm
cosecant function
49. For all x in [a -b] - f'(x)<0
tangent line
differentiation
chain rule
decreasing on an interval
50. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
antidifferentiation
integrable function
definite integral
decreasing on an interval