Increasing & Decreasing (& Constant)
Evaluating Function Rules
Max. & Min.
Domain & Range
Average Rate of Change
100
When we write intervals of increase/ decrease, what values do we use to write the interval?
The x-values
100
DOUBLE JEOPARDY
Evaluate f(2) if f(x)=-3x
f(2) = -6
100
Define local maximum.
A point where the graph switches from increasing to decreasing.
100
What is the definition of domain? range?
Domain: The set of all input (x) values of a function
Range: The set of all output (y) values of a function
100
What is the formula for average rate of change?
f(b) - f(a) / b - a
y2 - y1 / x2 - x1
200
See slide #4
(2,4)
200
Evaluate f(7) if f(x)= -(4x+2)
f(7) = -30
200
See slide #8
(-8, -8) and (8, -8)
200
State the domain and range:
Domain: [-1, 4]
Range: [-4, 5]
200
See slide #2
The average rate of change is -3
300
See slide #5
(-2, 1)
300
DOUBLE JEOPARDY
Evaluate f(-6) if f(x)=x^2 - 9
f(-6) = 27
300
See slide #9
(2.1, 4.8) and (5, 6)
300
DOUBLE JEOPARDY
State the domain and range:
D: [-4, 6]
R: [-2, 4]
300
See slide #1
The average rate of change is 3/2
400
See slide #6
(1, 3) U (4, inf)
400
Evaluate f(x)=9 if f(x)=25 - 4x
x = 4
400
See slide #10
(1, 4)
400
State the domain and range:
D: (-inf, 3]
R: [-3, inf)
400
See slide #3
The average rate of change is 76
500
See slide #7
(1, 2.2) U (4, 5.3) U (7, 8.5)
500
Evaluate f(x)=42 if f(x)=3x - 12
x = 18
500
See slide #11
None
500
Find the range of f(x) = -2x + 4 for the domain -3≤x≤5
-6≤y≤10
500
Find the average rate of change of x² - 3 from x = -3 to x = 1
(-3, 6) and (1,-2)
The average rate of change is -2