Features of Functions
Function Notation
Domain and Range
Mixed Functions
Trivia
100
What are the maximum(s) and minimum(s) of the graph? Are they local or absolute
Absolute Max: (2,3)
Absolute Min: (0,-1)
100
Do these points represent a function? Explain why or why not.
{(-4, 1) (-3, 12) (0, 1) (2, 2) (10, 2)}
Yes (explanations may vary)
100
What is the domain and range of this function?
(-int, inf)
100
Is this situation a function:
Inputs the numbers of kilowatts of electricity used in a month and outputs the price of the monthly electric bill.
Function! An amount of kilowatts can only output one cost
100
What country is home to the Great Barrier Reef?
Australia
200
What region(s) of the graph are decreasing? Use either notation.
(-int,0) or (2, inf)
200
Find f(-2) if f(x)=2x^2+5
13
200
Find the domain and range of...
D: (-inf, 2) U [4, inf)
R: (-inf, 2) U [6,inf)
200
The functions C(x)=2x represents the number of cups of coffee Ms. PG drinks each hour after 9am. What is C(2) and what does it mean in context?
C(2)=2 , Ms PG drank 2 cups of coffee by 11am
200
Which snack brand's mascot is named Chester?
Cheetos
300
What region(s) of the graph are negative? Use either notation.
(-0.5, 0.5) U (3, inf)
300
Find f(0)
-2
300
Booking a DJ for the school dance costs C(h)=50h where h is measure in hours. The DJ will work no more than 8 hours but not fewer than 4 hours. What would the domain and range of this function be? (assume the DJ can work partial hours)
D: [4, 8]
R: [200, 400]
300
If f(x)=3x+12 and g(x)=-2x^2+5
Find (f(g(-2))
3
300
What is the chemical symbol for gold on the periodic table?
Au
400
Sketch a graph that has...
Horizontal intercept at x=-2
Absolute max at x=0
Local max at x=2
Domain = all real numbers
Answers vary
400
Find the value or values of x when f(x)=2 (you may estimate here)
-3.5, -2, 2.4
400
Find the domain of...
2/x(x+4)
(-inf, -4) U (-4,0) U (0, inf)
400
The function M(b)=3b represents the amount of money a bake sale earns from selling b brownies. Assume there is a maximum of 10 brownies to sell. Give the domain and range of the function. (Think about this one!!!)
Domain: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
Range: [0, 3, 9, 12, 15, 18, 21, 24, 27, 30]
400
Olivia Rodrigo's debut song "driver's license" was released in what year?
2021
500
Sketch a function that...
Has a range of [-3, inf)
Has absolute minimums at x = 2 and x =-2
Has an absolute maximum at x=0
Answers vary
500
For the function f(x)=|2x+4|
what value or values of x would make f(x)=5
1/2 or -9/2
500
Find the domain of...
3+x/sqrt(2x+12)
(-6,inf)
500
If f(x)=3x and g(x)=1/x and h(x)=5x^2-5x
Find g(h(f(x)))
1/45x^2-15x
500
What state's motto is "North to the Future"
Alaska