SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
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
parallel curve
absolute value
normal line
acceleration
2. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0
difference quotient
left hand limit
acceleration
concave up
3. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0
rational function
odd function
logarithmic function
exponential function
4. Amount of change / time it takes (amount of change/ length of interval)
order of a derivative
infinite limit
mean value theorem for definite integrals
average rate of change
5. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
parameter
domain
Radian
decay model
6. 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
natural logarithm
bounded below
amplitude
right hand sum
7. A function that can be graphed w/ a line or smooth curve
instantaneous velocity
natural logarithm
continuous function
cross sectional area
8. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions
transcendental function
initial condition
cartesian coordinate system
domain
9. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.
left hand sum
critical value
odd function
non removable discontinuity
10. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
differential equation
indefinite integral
perpendicular curves
mean value theorem for definite integrals
11. 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
critical point
local linearity
related rates
removable discontinuity
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 of an x-intercept of the graph
Fundamental theorem of calculus
root of an equation
acceleration
position function
13. If f is continuous on [a -b] then at some point - c in [a -b] - f(c)= (1/(a-b))*?f(x)dx (with bounds a -b)
limit of integration
implicit differentiation
amplitude
mean value theorem for definite integrals
14. 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 function
differential
local linearity
concave up
15. A variable occurring in a function - but on which the value of the function does not depend
decay model
continuity on an interval
dummy variable of integration
difference quotient
16. Intervals in which the second derivative is positive
concave up
decay model
amplitude
derivative
17. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined
domain
odd function
concave down
endpoint extremum
18. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x
indefinite integral
order of a derivative
partition of an interval
differential
19. Functions of angles
circular function
Intermediate value theorem
cosecant function
concave down
20. If f is continuous at x = a and lim f'(x) (from the left) = lim f'(x) (from the right) - then f is differentiable at x = a
differentiability
absolute minimum
cosecant function
non removable discontinuity
21. If a function is on the closed interval [a - b] and F is an antiderivative (?) of f on [a -b] then ?f(x) dx from a to b is F(b) - F(a)
decay model
Fundamental theorem of calculus
constant of integration
constant function
22. A²=(b²+c²)-2(ab)Cos(A)
end behavior
asymptote
bounded
law of cosine
23. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
even function
position function
dummy variable of integration
continuity at a point
24. Either of the endpoints of an interval over which a definite integral is to be evaluated
axis of symmetry
limit of integration
differentiability
derivative
25. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.
root of an equation
instantaneous rate of change
integration by substitution
power series
26. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
Algebraic function
piecewise defined function
Antidifferentiation- check
second derivative test
27. Curve whose points are at a fixed normal distance of a given curve
cartesian coordinate system
parallel curve
constant function
Radian
28. The maximum distance that the particles of a wave's medium vibrate from their rest position
difference quotient
asymptote
amplitude
left hand limit
29. A measure of how a function changes as its input changes.
left hand sum
derivative
distance formula
rational function
30. A straight line that is the limiting value of a curve
root of an equation
logarithm laws
asymptote
Antidifferentiation- check
31. d = v[( x2 - x1)² + (y2 - y1)²]
non removable discontinuity
decay model
distance formula
parameter
32. The mathematical process of obtaining the derivative of a function
related rates
instantaneous velocity
differentiation
absolute value
33. The local and global maximums and minimums of a function
extremum
first derivative test
critical point
differential equation
34. A function that is continuous at every point on the interval
continuity on an interval
definite integral
axis of symmetry
conic section
35. A line that divides a figure in half so that each half is the mirror image of the other.
axis of symmetry
Antidifferentiation- check
distance formula
order of a derivative
36. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
removable discontinuity
integrand
definite integral
circular function
37. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point - L(x) = f(a) + f'(a)(x - a)
linear approximation
partition of an interval
odd function
limit of integration
38. A function whose domain is divided into several parts and a different function rule is applied to each part
concave up
amplitude
trapezoidal rule
piecewise defined function
39. Dividing an interval into n sub-intervals
constant of integration
derivative
axis of symmetry
partition of an interval
40. Ratio between the length of an arc and its radius
Radian
absolute value
differential equation
implicit differentiation
41. A given value of x and f(x) used to find the constant of integration
initial condition
circular function
absolute minimum
distance formula
42. A function that is a fixed numerical value for all elements of the domain of the function
initial condition
constant function
cosecant function
order of a derivative
43. The reciprocal of the sine function
cosecant function
cartesian coordinate system
concave up
Rolle's Theorem
44. N(1-r)^x
decay model
partition of an interval
conic section
critical value
45. The limit of f as x approaches c from the right
infinite limit
cross sectional area
right hand limit
Antidifferentiation- check
46. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0
order of a derivative
second derivative test
mean value theorem for definite integrals
logarithm laws
47. The distance a number is from 0 on a number line
leibniz notation
Rolle's Theorem
dummy variable of integration
absolute value
48. If there is some number b that is less than or equal to every number in the range of f
transcendental function
integrable function
decay model
bounded below
49. A logarithm with the base e - written as ln
natural logarithm
amplitude
absolute value
limit at infinity
50. Selection of a best element from some set of available alternatives.
implicit differentiation
end behavior
differentiation
optimization