Is it a function?
Evaluation Station
Domain and Range
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
Domain tells us all of the _________ of a function.
x-values
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
Given the following relation, state the range.
{(2, 3), (-2, 2) (0, 7), (-1, 0), (3, 2)}
Range: {0, 2, 3, 7}
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
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)
300
State the domain and range
Domain: {1, 2, 3, 4, 5, 6}
Range: {-1, 0, 1, 2, 3, 6}
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
State the domain and range
Domain: ( - inf, inf)
Range: (-inf, 3]
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? Interpret that in the the situation.
y = 50 In 4 weeks, Mark runs 50 miles.
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
If f(x) =21, find x.
f(x) = -(-4x+7)
x = 7
500
State the domain and range.
Domain: (-3, 8]
Range: (-5, 2]
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?