Vocabulary
The rate at which another quantity is changing with respect to another quantity.
Rate of change
Find the rate of change for (5,9) (-2,-6)
What is -15/3 or -5
The graph shows a straight line?
Constant
What type of Function?
X 1 2 3 4 5
Y 150 75 50 37.5 30
Inverse Variation Function
_______ OVER ________
Y OVER X
Distance OVER Time
The product of two quantities always remains constant
Inverse Variation Function
What is the Rate of Change
X 1 3 4 6
Y 18 14 12 8
-2
Not Constant
What type of function?
X 0 1 2 3 4
Y 3 6 9 12 15
Linear
If a graph is proportional it will .....
pass through the origin (0,0)
The ratio of second differences to first differences is constant
Quadratic Function
Find the rate of change for (-7,7) and the origin.
What is -1
Constant or Not Constant
X 1 2 3 4 5
Y 2 3 4 4.5 5
Not Constant
What type of function?
X 1 2 3 4
Y 3000 1500 750 375
Exponential Function
If a graph is decreasing, what do you know about the rate of change?
Neither sets of differences is constant - shows a pattern
Exponential Function
Find the rate of change for (6,7) and (-6,7)
What is Zero or no rate of change
Terrance Walked away from the motion detector for 5 fast and then turned around and walked back towards the motion detector fast.
Not Constant
What type of function is being described?
Kim ran 20 minutes on her initial run. She plans on adding 20 minutes a week as part of her marathon training plan.
Linear Function
If a graph is increasing, what do you know about the rate of change?
The rate of change is positive
Has a constant rate of change and makes a straight line
Linear Function
Find the rate of change
X -2 1 2
Y 7 7 7
Zero or 0
Constant or Not Constant
X 2 4 8 10 12
Y 1 2 4 5 6
Constant
What type of function?
X 1 2 3 4
Y -3 0 5 12
Quadratic Function
What is the rate of change if the graph shows a horizontal line?
rate of change is 0