Rates of Change Flashcards
1
Q
What is a discrete change?
A
When change occurs in individual increments.
2
Q
What is a continuous change?
A
When change occurs gradually.
3
Q
When given x (inputs) and f(x), how do you find the rate of change?
A
ROC = ∆f/∆x
4
Q
When given a function f(x) over an interval [a, b], how do you find the average rate of change over the interval?
A
ROC = [f(b) - f(a)]/(b - a)
5
Q
What is a secant line?
A
A line connecting two points on the graph of a function.
6
Q
The derivative of a function is equal to what type of rate of change?
A
Instantaneous rate of change
7
Q
What is a tangent line?
A
A straight line that touches a point on a graph; its slope is the same as the derivative.
