Limits with Factoring
Limits at Infinity
Graph Limits
Precalculus Concepts
12 Basic Functions
100
Name 3 different indeterminant forms and what they mean.
Varies; they mean you need to do more work!
100
What is the limit as x approaches -infinity of the rational parent function?
0
100
Find the limit as x->3
1/2
100
Describe why a graph may or may not be a function using a Precalculus Vocabulary term.
The vertical line test!
100
Which function below grows the slowest?
Quadratic Function, Square Root Function, or Exponential Function
Square Root Function
200
(x-1)(x-1)/(x-1)
x-1-> (1)-1 = 0
200
Find the limit as x approaches infinity of arctan(x)
pi/2
200
Find the limit as x approaches 2
DNE
200
Draw and label at least 5 points on the Unit Circle.
Varies
200
What is the degree of a quintic polynomial?
5
300
Find the limit as x-> 0 of
5x3+8x2/3x4-16x2
-1/2
300
Find the limit as x approaches -infinity.
y = (5x4 + 6x - 3)/(x2 + 4)(3x2 - 5)
5/3
300
Explain using left and right hand limits what the limit is as x approaches 1.
They are not equal!
300
Find the average rate of change of y=-2x+13 on the interval [5, -2].
17-3/-2-5=14/-7=-2
300
Write a cubic binomial in standard form.
Varies
400
(3x+1)(x+4)/(2x-3)(x+4)
(3x+1)/(2x-3)
-12+1/-8-3
-11/-11 = 1
400
Find the limit as x approaches infinity.
y = x+50378/x34-5x27+x20+54
0
400
Finish the sentence below:
The limits at a jump discontinuity will _________.
Never exist.
400
State the quadratic formula!
:)
400
What is the end behavior of a negative, ninth degree polynomal?
As x-> -inf, y->inf
As x-> inf, y->-inf
500
What is the limit as x approaches 2 of
(x2-2x-15)/(x3-4x)
DNE
500
Find the limit as x approaches infinity.
y = x34-5x27+x20+54/x+50378
DNE/infinity
500
What is the definition of continuous using limits?
left hand limit = right hand limit = limit = function's value
lim as x->a = f(a)
500
Name all 4 forms of discontinuities and draw an example of each!
Jump, Oscillating, Removable, Infinite
500
What is the domain and range for the function
y = 1/x-2
Domain: (-inf, 2) U (2, inf)
Range: (-inf, 0) U (0, inf)