Unit 2-summer 2018 Flashcards
Average rate of change
Change that takes place over an interval
Instantaneous rate of change
Change that takes place in an instant
Secant
Line that connects two points on a curve
Average rate of change from graph
Look at the y values and find the slope for the interval
Average rate of change from table
Use y values and find slope
Average rate of change from ran
Find the two y values and use the x values to find the slope ex.
[0,0. 5]
Find f of 0
Find f of 0.5
Rate of change
Measure of how quickly one quantity changes with respect to another
Instantaneous rate of change from graph
Find slope of a secant by finding one point of the line that touches the graph than another point on the secant line
Instantaneous rate of change from a table
Do the interval method (see Steven notes)
Instantaneous rate of change from eqn
Use smaller and smaller secant lines until you reach as close to the tangent point to get the Instantaneous rate of change. See Steven notes
Three defining characteristics of a polynomial function
It is continuous (no holes)
Degrees are whole numbers
Each term has a real coefficient and a unique power
End behaviour uses
Standard form of eqn
Positive leading coefficient
Even degree
Y is always positive
Negative leading coefficient
Even degree
Y is always negative
Positive leading coefficient
Odd degree
Function is increasing as x increases and decreasing as x decreases
