Show:
Limits
Continuity
Rates of Change
Derivative
100
lim(x→2) (x/(-2))
What is -1?
100
State one of the rules of continuity (not previously stated)
What is...
100
Find the rate of change of the ordered pairs (2, 3) and (3, 4)
What is 1?
100
What is f(x+h) when f(x)= x2 - 3x
What is (x+h)2 - 3(x+h)?
200
lim(x→2) (x^2+2x+1)
What is 9?
200
Determine if x2 - 4 is continuous when at x=2. Why or why not?
What is yes?
200
Find the slope of the ordered pairs (-6, 7) and (-3, 4)
What is -1?
200
The formula for finding derivatives is...
What is lim as h -> 0 of [f(x+h) - f(x)] / h ?
300
lim(x→3) (x^2-5x+6)/(x^2-9)
What is 1/6?
300
State two of the rules of continuity (not previously stated)
What is...
300
What is the formula for finding the rate of change?
What is [c(b) - c(a)] / (b-a) ?
300
The general derivative of x2
What is 2x?
400
lim(x→0) (sqrt(x+9)+3)/(-2 - x)
What is -3?
400
Determine if f(x) = (x2 + 5x + 6) / (x+1) is continuous at x= -1. Why or why not?
What is No, because f(-1) is undefined.
400
Given the function f(x) = x3 + 3, find the average rate of change between x = -1 and x = 2
What is 3?
400
g(x) = 4x2 +3x+2. Find the derivative when x=-1
What is -5?