Vocabulary
Function Notation
Defining Functions
Evaluate Functions
Is it true?
100
Define Independent Variable
The Intendent variable influences he 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.
Decide whether the following statements are true or false.
- The graph has multiple horizontal intercepts.
True
200
Define Dependent Variable
If the independent variable changes so does the dependent variable. Output, y, Range
200
The best 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?
A: f = 1.5
B: f < 1.5
C: f = 3.5
D: f > 3.5
C
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.
Decide whether the following statements are true or false.
- A horizontal intercept of the graph represents the time when Andre was with his bike.
True
300
Define Function
A function is a relation in which each input (x) has exactly 1 output (y).
300
Function is represented by the graph.
For what input value or values is g(x)= 4 ?
-2 and 2
300
Function f is defined by the equation f(c)=3x-7. Find the value of c so that f(c)=20 is true.
c = 9
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.
Decide whether the following statements are true or false.
- A minimum of the graph is (17,1).
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 each statement in 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 feet
400
If x=-3 evaluate f(x)=x^2.
What is f(-3)=9?
400
This graph represents Andre’s distance from his bicycle as he walks in a park.
Decide whether the following statements are true or false.
- The graph has two maximums.
False
500
Define Vertical Line Test
A line that proves if the graph of a function is truwby 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?
A(x)=25 + 10x
500
Match each description with a graph that could represent it.
A:Lin starts out running, but then slows down to a jog. After 10 minutes, she stops for a water break. She then runs the rest of the way.
B:Lin starts the race walking, gradually getting faster and faster.
C:Lin jogs at a steady pace for the entire race.
D:Lin starts out walking, then moves to a steady run. After 15 minutes, she stops to stretch a cramped leg. Then, she walks the rest of the way.
A: 4, B: 3, C: 1, D: 2