Evaluating Function
Relations
Extrema
Incr. & Decr.
Is it a Function?
100
Evaluate f(x)=-3x if x=2
What is -6?
100
State the domain of the function {(4,-2),(-1,1),(2,-3),(3,0)}
What is {4,-1,2,3}?
100
What are the local extrema of the function f(x) = x^3 – 3x^2 + x + 1?
local maximum at x = 0.18; local minimum at x = 1.8
100
Using interval notation, state the intervals where the function f(x) = (2x – 3)^2 is increasing and where it is decreasing.
decreasing on (–∞,1.5)U(1.5, ∞)
100
Is it a function? {(2, 3), (4, 5), ( -2, 6)}
What is YES because x does not repeat?
200
Evaluate f(x)=2x+1 if x=-2
What is -3?
200
State the range of the function {(4,-2),(-1,1),(2,-3),(3,0)}
What is {-2,1,-3,0}?
200
What are the local and global extrema of the function f(x) = x^4 + x^3 – 2x^2 – x + 2?
global minimum at x = –2.4; local minimum at x = 0.4; local maximum at x = –0.25
200
Using interval notation, state the intervals where the function f(x) = (2x – 3)^2 – x^2 is increasing and where it is decreasing.
decreasing on (1.19,1.90); increasing on (–∞,1.19)U(1.90, ∞)
200
Using the vertical line test does the graph of the points (1,3) and (1,5) represent a function?
What is False, the points fail the vertical line test
300
Evaluate f(x)=-3 - x if x=6
What is -9?
300
Find the domain and range of {(-1,5),(2,3),(4,2),(-1,2)}
What is a domain of {-1,2,4} and a range of {5,3,2}?
300
What are the local extrema of the function f(x) = 0.05x^3 – 0.8x^2 + 0.4x + 1?
local maximum at x = 0.26; local minimum at x = 10.4
300
Using interval notation, state the intervals where the function f(x) = (2x – 3)^2 – x^2 is increasing and where it is decreasing.
decreasing on (1.19,1.90); increasing on (–∞,1.19)U(1.90, ∞)
300
Is it a function?
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
What is NO because x repeats?
400
Evaluate f(x)=25 + 4x if x=5
What is 45?
400
Find the domain and range of {(-3,4),(0,10),(11,8),(4,5)}
What is a domain of {-3,0,11,4} and a range of {4,10,8,5}?
400
What are the local and global extrema of the function f(x) = 0.04x^4 + 0.2x^3 – 1.9x^2 + 0.1x + 4?
global minimum at x = –7.1; local maximum at x = 0.026; local minimum at x = 3.3
400
Using interval notation, state the intervals where the function f(x) = 0.6x4 + 1.8x^3 + x^2 – x + 1 is increasing and where it is decreasing.
decreasing on (–∞,1.52)U(–1, 0.27); increasing on (–1.52, –1)U(0.27, ∞)
400
Is it a function?
What is YES because it passes the Vertical Line Test?
500
Evaluate f(x)=-(4x+2) if x=7
What is -30
500
Find the domain and range of {(-5,8),(-5,4),(6,9),(3,10)}
What is a domain of {-5,6,3} and a range of {8,4,9,10}?
500
What are the local and/or global extrema of the function f(x) = 0.01(x – 5)^4 – 0.1x^3 – 0.4^x + 4?
global minimum at x = 20.1
500
Bonus, you get this one for free!
Free
500
Is it a function?
What is NO because it does not pass the Vertical Line Test?