Vocabulary
Function Notation
Defining Functions
Evaluate Functions
Is it true?
100
Define Independent Variable
The Independent variable influences the change of the dependent variable. Input, x, domain
100
Function C gives the cost, in dollars, of buying n apples. Write the function notation for the cost of 5 apples is $4.50
C(5)= 4.50
100
Which statement best represents the meaning of C(10)=9?
A:The cost of buying 9 apples
B:The cost of 9 apples is $10.
C:The cost of 10 apples
D:Ten apples cost $9.
D
100
If x=5 evaluate y=x+3.
What is y=8?
100
This graph represents Andre’s distance from his bicycle as he walks in a park.
The graph has multiple horizontal intercepts. True or False?
True
200
Define Dependent Variable
If the independent variable changes so does the dependent variable. Output, y, Range
200
Function F gives the price for bagels, in dollars, is a function of the number of bagels bought, n. Write the function notation when 12 bagels costs 10 dollars
F(12)=10
200
Diego is baking cookies for a fundraiser. He opens a 5-pound bag of flour and uses 1.5 pounds of flour to bake the cookies.
Which equation or inequality represents , the amount of flour left in the bag after Diego bakes the cookies?
x = 3.5
200
If x=3 evaluate y=2x.
What is y=6?
200
This graph represents Andre’s distance from his bicycle as he walks in a park.
A horizontal intercept of the graph represents the time when Andre was with his bike. True or False?
True
300
Define Function
A function is a relation in which each input (x) has exactly 1 output (y).
300
Function P gives the height of a child, in inches, when it is y years old.
What is the function notation? Example: f (x) = y
P ( ) =
P ( y ) = Height of a child
300
Function f is defined by the equation f(c)=3x-7. Find the value of the equation when x = 7.
14
300
If f(x)=3x+2 , x = 17
What is 53?
300
This graph represents Andre’s distance from his bicycle as he walks in a park.
A minimum of the graph is (17,1). True or False?
False
400
Define Maximum and Minimum
Maximum is the highest point of a function.
Minimum is the lowest point of a function.
400
W gives the weight of a puppy, in pounds, as a function of its age,t, in months.
Describe the meaning of this function notation.
W(2) =5
At 2 months, the puppy weighed 5 pounds.
400
A squirrel runs up and down a tree.
The graph shows the height of the squirrel, h (feet), as a function of time, t (seconds).
- What is the highest point the squirrel reaches?
14
400
If x=-3 evaluate f(x)=2x.
-6
400
This graph represents Andre’s distance from his bicycle as he walks in a park.
The graph has two maximums. True or False?
False
500
Define Vertical Line Test
A line that proves if the graph of a function is by drawing a vertical line.
500
W gives the weight of a puppy, in pounds, as a function of its age,t, in months.
Describe the meaning of each statement in function notation.
W(6) > W (4)
The puppy weighed more when it was 6 months old than when it was 4 months old.
500
A squirrel runs up and down a tree.
The graph shows the height of the squirrel, h (feet), as a function of time, t (seconds).
- Solve . h(t)=0 What does this solution tell you about the squirrel?
t = 4. It means that after 4 seconds, the squirrel is at the bottom of the tree on the ground.
500
Functions and are defined by these equations.
F(x)= 80-15x OR A(x)=25 + 10x
Which function has a greater value when x is 2?
F(x)= 80-15x
500
A: 4, B: 3, C: 1, D: 2