Vocabulary
A vertical line that the graph cannot touch, also known as an infinite discontinuity.
What is a vertical asymptote?
lim x->5 (x^2-25)/(x-5)
y= 1/x2
H.A. y=0
V.A. x=0
Given that g(t)= t3-4t+2 and g'(t)=3t2-4.
Find the slope at t=2.
8
This actor is known for his roles in Sherlock Holmes, Iron Man, and Oppenheimer.
Who is Robert Downey Jr?
If we choose a horizontal line y=N between two y values, then the graph of f can't jump over the line
What is the intermediate value theorem?
lim x->0+ 1/x
What is ∞?
y=ln(x+2)
H.A. NONE
V.A. x=-2
Given that g(t)= t3-4t+2 and g'(t)=3t2-4.
Find the equation of the tangent line at t=2
y=8t-14
This Harry Potter movie is the first to feature Sirius Black, Harry's Godfather. (also the best harry potter movie imo)
What is Harry Potter and the Prisoner of Azkaban?
this math term is the slope of the tangent line to the function.
it can be written as f'(x), y', d/dx(f(x)), and dy/dx
What is a derivative?
lim x->4 (√x+5)-3/(x-4)
what is 1/6?
y=cos-1(x)
H.A. NONE
V.A. NONE
Given that g(t)= t3-4t+2 and g'(t)=3t2-4.
Approximate g(1.95), g(2.1), and g(3)
1.6, 2.8, 10
Batman lives and protects this city.
What is Gotham City?
If we can find two functions, one greater than and one less than our problem function, each with the same limit, our problem limit is forced to have the same value as the bounding limits.
What is squeeze theorem?
lim x->0 (x+2)3-8/x
what is 12?
y= x/x2+1
H.A. y=0
V.A. NONE
Given that g(t)= t3-4t+2 and g'(t)=3t2-4.
Are the approximations underestimates or overestimates? Explain
Underestimates, the function is concave up near t=2.
This movie features a character named Pascal, a small green charming chameleon.
What is Tangled?
This function follows these 3 conditions:
1. the limit exists (the left and right limits are the same)
2. the function value at x=a exists
3. the value of the limit of the function as x approaches a is equal to the function at x=a
what is a continuous function?
lim x->0+ ln(sinx)
what is -∞?
y=3/ex
H.A. y=0 as x-> infinity
V.A. NONE
When is your test?
September 15th
This song is named after a battle, lost by the French on June 18th, 1815. It is written and performed by the band ABBA.
What is Waterloo?