Is it a function?
Evaluation Station
Be Independent!
Get Graphing
Great Interpretations
100
Is it a function? How do you know?
No! This does not pass the vertical line test.
100
Let f(x)=2x+1
Find f(-2)
What is - 3
f(-2)=2(-2)+1=-3
100
Let f(x)=3+x.
Solve for x when f(x) = 17
Write your answer as "x =___ so f(___)=17"
x = 14 or f(14)=17
100
When f(3)? Find y
What is y = 3 or f(3) = 3
100
Let f(x)=x+3.
What does f(2) represent in words?
The value of function f when x=2
domain, independent variable
200
Is it a function? Why?
Yes! Every input leads to exactly ONE output
200
Hawley's Bicycle World rentals rents bicycles by the hour. Where "c" is the cost per "h" hours in c(h) = 8.50 + 5.25h. The 8.50 represents what?
What is the base amount, flat rate/fee or initial to rent a bicycle in addition to 5.25?
Beginning fee, Constant
200
Let g(x) = 4x+9
Solve for x when g(x)=37
x = 7 or g(7) = 37
200
What is f(1)?
f(1)=-2
200
Morgan has $12. Suppose the function f(x) = 1.5x + 7 represents the cost to rent x video games each month. How many more dollars will Morgan need to rent 8 video games next month?
What is 7?
300
Which relation is a function? Why?
Relation 2 is a function. Every input is mapped to exactly one output. This is not the case in Relation 1 or 3.
300
Anthony is researching E. coli bacteria cells. If "P" represents the size of the population at any time (t), what is the domain of the functions?
a. All integers
b. All non negative integers
c. All non negative rational numbers
What is All non negative rational numbers (c)
Examples 10/11, 7/9, 0, 3
300
Barry collects comic books. He currently has 350 comic books and plans to buy 10 comic books each month. Write the equation in slope intercept form.
What is y = 10x + 350
300
For what x value(s) does f(x)=4?
What is 2 and -2?
f(2)=4 and f(-2)=4
300
c(x)=70x - 10 represents the cost of a ticket to a rock concert. How many tickets can you buy with $200?
3 tickets
400
A function g consists of the ordered pairs
{(0,0),(7,2),(8,2),(3,1),(9,8),(5,5),(7,2),(2,3),(1,3)}
Is g a function? Why?
YES! Even though the x value 7 is listed twice- it leads to the SAME output of 2. repeating an ordered pair is bad notation, but 7 does not lead to more than one output.
400
k(t) = 15(t-12). What is the value of the function when t = 10?
k(10) = -30
400
The point that lies on the graph of the equation x + 3y = 3.
a. (1, 3)
b. (0, 1)
c. (-1, 6)
What is b. (0, 1)
400
Give two ordered pairs that prove this graph is not a function
Various
example: (0,3) and (0,-3)
400
Mark is training for a race. The equation f(x) = 6(x + 3) + 2x represents the number of miles Mark runs during any given training week (x). When f(4) what is y?
y = 50
f(4) = 50
500
A function f consists of the ordered pairs {(0,1),(2,3), (4,5),(6,7),(8,9)}.
Add an ordered pair to the set that makes this relation NOT a function.
Various responses: some x value should be used twice leading to two different y values.
500
Find the slope, y-intercept and x-intercept of x + 5y = 10
What is slope -1/5
What is x-intercept (10,0)
What is y-intercept (0,2)
500
The following point lies on the line represented by 3x + 7y = -31.
a. (3, 7)
b. (7, -3)
c. (6, -7)
What is (6, -7)
500
At a salad bar, the cost per ounce is $0.85, the container cost $0.25. What is the total cost, in dollars and cents, of a salad weighing 8 ounces?
What is $7.05?
500
f(6) = 12 represents what?
What is input of 6 and output of 12.
What is domain of 6 and range of 12