Behavioral Functions
Define relative maximum.
y or function value at a certain point (or points) which is the highest in its region.
What is the average rate of change?
The average of changes throughout the entire graph.
What is a piecewise function?
a function that can be defined by multiple functions based on specific pieces of domain.*
For your answer to be right, you MUST include the italicized portion.
Define relative minimum.
y or function value at a certain point (or points) which is the lowest in its region.
What is the difference between slope and ARC?
Yes. You must ALWAYS choose the endpoints if they are given.
Define absolute max.
the largest y-value throughout the entire graph.
What is the formula to solve for the ARC?
y2-y1/x2-x1
What is an absolute value function?
a function of the form f(x)=|x|
Define absolute min.
lowest y-value throughout the entire graph.
What is the difference quotient?
the ARC between x & x+h
How do you solve for an absolute value function when it's a piecewise function?
solve for x>0 and multiply the remaining function by -1 to find remaining values.
(This is kind of hard to write out and explain, if you have any questions or need help/ clarification just text me!)
Can you use brackets when reporting increases, decreases, or constant values?
No.
This is because you can't increase or decrease at any singular point.
What is the formula for the difference quotient?
(f(x+h)-f(x))/h
Can absolute value be less than 0?
No. The absolute value of x (|x|) will always be a positive number.