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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. Imaginary line drawn perpendicular to the surface of a mirror or any surface
continuous function
asymptote
Algebraic function
normal line
2. A variable occurring in a function - but on which the value of the function does not depend
Algebraic function
dummy variable of integration
extremum
limit of integration
3. The inverse of an eponential function
extremum
linear approximation
endpoint extremum
logarithmic function
4. 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))
constant of integration
root of an equation
complex number
local linearity
5. N(1-r)^x
end behavior
differential equation
decay model
cartesian coordinate system
6. A function f that gives the position f(t) of a body on a coordinate axis at time t
local linearity
position function
antiderivative
derivative
7. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions
logarithmic function
leibniz notation
transcendental function
integration by substitution
8. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0
logarithm laws
Total change Theorem
root of an equation
bounded
9. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
order of a derivative
integrand
implicit differentiation
non removable discontinuity
10. A function that is continuous on both the left and right side at that point
left hand limit
differentiability
continuity at a point
local linearity
11. 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
limit of integration
Intermediate value theorem
dummy variable of integration
logarithmic function
12. Selection of a best element from some set of available alternatives.
bounded above
Antidifferentiation- check
difference quotient
optimization
13. A surface or shape exposed by making a straight cut through something at right angles to the axis.
difference quotient
cross sectional area
bounded above
amplitude
14. Functions of angles
right hand sum
extreme value theorem
constant of integration
circular function
15. A measure of how a function changes as its input changes.
decay model
complex number
derivative
piecewise defined function
16. A point that represents the maximum value a function assumes over its domain
absolute maximum
limit of integration
asymptote
local linearity
17. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0
root of an equation
integrable function
numerical derivative
rational function
18. 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
linear approximation
piecewise defined function
antiderivative
non removable discontinuity
19. 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)
exponential function
leibniz notation
numerical derivative
implicit differentiation
20. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates
law of sines
Total change Theorem
concave down
related rates
21. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minimum of the function. If the first derivative changes from positive to zero of negative - then that critical val
first derivative test
Total change Theorem
continuity at a point
Radian
22. 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
bounded below
right hand sum
first derivative test
differential
23. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
implicit differentiation
exponential growth and decay
order of a derivative
24. A logarithm with the base e - written as ln
difference quotient
right hand sum
partition of an interval
natural logarithm
25. sinA/a=sinB/b=sinC/c
perpendicular curves
limit of integration
odd function
law of sines
26. A given value of x and f(x) used to find the constant of integration
odd function
bounded above
initial condition
integration by substitution
27. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0
difference quotient
continuity on an interval
integrable function
concave down
28. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit
mean value theorem for definite integrals
right hand limit
integrand
complex number
29. Intervals in which the second derivative is positive
mean value theorem for definite integrals
Fundamental theorem of calculus
Total change Theorem
concave up
30. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change
logarithmic function
acceleration
distance formula
continuity on an interval
31. dy/dx
Intermediate value theorem
mean value theorem for definite integrals
absolute maximum
leibniz notation
32. 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
local linearity
odd function
left hand sum
Mean Value theorem for derivatives
33. The behavior of the graph of a function as x approaches positive infinity or negative infinity
Intermediate value theorem
end behavior
continuity on an interval
endpoint extremum
34. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables
Algebraic function
continuity at a point
integration by substitution
initial condition
35. The distance a number is from 0 on a number line
axis of symmetry
absolute value
mean value theorem for definite integrals
complex number
36. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1
exponential growth and decay
absolute maximum
complex number
Algebraic function
37. 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
integrand
Total change Theorem
trapezoidal rule
position function
38. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
antiderivative
distance formula
implicit differentiation
exponential function
39. If there is some number B that is greater than or equal to every number in the range of f
cross sectional area
bounded above
critical value
integrable function
40. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum
natural logarithm
indefinite integral
parallel curve
trapezoidal rule
41. The process of evaluating an indefinite integral
antiderivative
Antidifferentiation- check
Rolle's Theorem
natural logarithm
42. Having the limits or boundaries established
bounded
extremum
Antidifferentiation- check
linear approximation
43. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
Radian
removable discontinuity
initial condition
cartesian coordinate system
44. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
even function
local linearity
right hand sum
inflection point
45. The reciprocal of the sine function
logarithm laws
law of cosine
cosecant function
even function
46. The function that is integrated in an integral
integrable function
continuous function
integrand
limit of integration
47. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
derivative
bounded above
cartesian coordinate system
logarithm laws
48. The smallest y-value of the function
partition of an interval
left hand sum
absolute minimum
initial condition
49. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
position function
acceleration
definite integral
piecewise defined function
50. A²=(b²+c²)-2(ab)Cos(A)
rational function
integrand
law of cosine
cross sectional area