Continuity
Asymptotes
Limits
Rates of Change
100
Name the four types of discontinuity
What is removable, infinite, oscillating, and jump
100
A line is a horizontal asymptote of the graph of a function if ...
What is the limit approaching positive or negative infinity equals a constant.
100
Find the limit algebraically as the function is approaching 3 f(x)=(x^2 - 9)/(x-3)
What is 6
100
Find the average rate of change of f(x) = x^3 + 1 over the interval [2, 3]
What is 19
200
Define continuous.
What is being able to draw the function without picking up pencil
200
A line is a vertical asymptote of the graph of a function if ...
What is the limit approaching a constant equals positive or negative infinity.
200
Using the graph of number 2 on the NC section of the practice test.... Find the limit as the function approaches -2
What is zero
200
The slope between two points is called....
What is the slope of a secant line
300
Using the graph from #4 on your NC portion of the practice test... For which value of x is the graph not continuous?
What is x=2
300
Find the vertical asymptotes of the graph: f(x)=3/(16-x^2)
What is x=4 and x=-4
300
Using the graph from #2 of the NC section of the practice test, find the limit as the graph approaches 1.
What is... "the limit does not exist!" Cady Heron
300
The slope at a single point is called...
What is the slope of a tangent line
400
What type of discontinuity is pictured in #2 on the NC portion of the practice test?
What is Jump
400
Using a graph, find the horizontal asymptotes for the limit as the function is approaching infinity. f(x)= 2 + 1/x
What is y=2
400
Find the limit as the function is approaching infinity of... f(x) = (4x^2 + 3x) / (3x^3 +198)
What is 0
400
Find the equation of the tangent line of f(x)=x^2 - 3x at x = 1
What is y = -x -1
500
Find any discontinuities algebraically. Give the value at which they occur and name which type of discontinuity if there are any. (x-2)/(x^2 - 6x +9x)
What is x=3, infinite discontinuity.
500
Find the end behavior model for f(x)=(4x^3 +2x^2 -8x)/(3x^3 + 4x)
What is 4/3
500
Find the limit as x approaches zero of sin(x) / cos(x)
What is 0
500
Find the equation of the normal line of the function f(x) = x^2 + 2 at x = -1
What is y = .5x +3.5
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