Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
100
What test does a graph need to pass in order to be considered a function?
Vertical Line Test
100
Evaluate this limit:
lim(2x^2-5x+1)
x --> 3
4
100
Find the derivative of f(x)=3x2.
6x.
100
If s(t)=4t2, what is the velocity at time t?
8t.
100
What is the indefinite integral of f(x)=6x?
3x2+C.
200
Which two graphs represent functions?
1 2 3 4
Graphs 1 and 3
200
Evaluate this limit:
lim(x^2 - 16)/(x - 4)
x --> 4
8
200
Using the power rule, find the derivative of f(x)=x5.
5x4.
200
Find the slope of the tangent line to f(x)=x2 at x=3.
6.
200
Evaluate ∫x4 dx.
(x5)/5 +C
300
Given the equation f(x) = |x|
What is the equation of the transformed line moved 2 units upwards and 1 unit to the left?
f(x) = |x+1|+2
300
Is this function continuous at x = 2?
f(x) = x^2 + 1
Yes
300
Find the derivative of f(x)=x2 * sin(x).
f(x)=2x sin(x)+x2 cos(x)
300
A rectangle has area A(x)=x(20−x). What value of x maximizes the area?
10.
300
Evaluate ∫02 2x dx.
4.
400
What is the inverse of f(x) = (1/3)x
f(x) = 3x
400
Evaluate this limit:
lim(x^2 - 9)/(x - 3)
x --> 3
6
400
Find the derivative of f(x)= (2x+3)4.
f(x)=8(2x+3)3.
400
For f(x)=x3−6x2+9x, what is the x-value where the function has an inflection point?
x=2.
400
What is the area under f(x)=x2 from x=0 to x=3?
9.
500
Evaluate the following equation:
cos(arcsin(1))
0
500
Evaluate this trig limit:
lim(sin(5x))/x
x --> 0
5
500
If f(x)=x3-3x2+2, this is the derivative used to find critical points.
3x2-6x.
500
If s(t)=t3−6t2, what is the acceleration function?
6t-12.
500
Evaluate ∫(2x)(x2+1)3 dx.
(x2+1)4/4 +C.