Continuity/Discontinuity
Infinite Limits
AROC/IROC
Squeeze Theorem
Derivatives
100
Functions are those whose graphs can be drawn without picking up your pencil
What is continuous functions?
100
When does a limit exist
What is when left anf right hand sides are equal?
100
The average rate of change of a function F(x) from a to b is defined by
what is [f(b) - f(a)]/b - a ?
100
Also called
What is sandwich or pinch theroem?
100
What is another name for a derivative?
What is slope/rate of change?
200
When looking for continuous functions, we need to make sure f(x)
What is defined for all values in the domain?
200
When a limit is going to infinity, what do you look at first?
What is the exponents?
200
The instantaneous rate of change is
What is the rate of change of something at a particular instant?
200
Looks at limit values rather than
What is function values?
200
The derivative of 2x
What is 2
300
Determine whether f(x) = 3x^2-5x+4 is continuous at x = 1
What is continuous at x =1?
300
What happens if the limit is going to infinity and the top exponent is greater than the bottom one
What is DNE?
300
What is 5?
300
2 functions squeeze together at a particular point, then any function trapped between them will get
What is squeezed to the same point?
300
What is the derivative of 4x^6
What is 24x^5?
400
A function f is continuous on an open interval (a,b) if f is both continuous at every number
What is (a,b)?
400
Limit as x approaches infinity of cos(2x)/3x
What is zero?
400
What is 2?
400
Limit as X approaches 0 of X^10cos(3π/x)
What is 0?
400
Power rule
What is d/dx [x^n] = n x x^n-1?
500
A function f is continuous on it's domain if it is
What is continuous at every number C in it's domain?
500
Limit as X approaches infinity of 7 + 1/3x - 2/x^2
What is 7?
500
P(t) models the number of people at the beach in Rio de Janeiro, Brazil, when it's t hours after midnight on a certain day.
t 9 10 15
P(t) 28 67 212
When did the number of people increase faster?
What is between 9-10 am?
500
Limit as X approaches 0 of xsin(1/x)
What is 0?
500
Chain Rule
What is d/dx [f(g(x)] = f' (g(x)) x g'(x)?