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Am I a function?
What's my function?
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Word Problems
100

This word is used to describe the set of all inputs for a function.

This word is used to describe the set of all outputs of a function.

What is the domain and range?

100

What is No, not a function?  It does not pass the vertical line test.

100

f(-3) if f(x) = 2x +1

What it -5 ?

100

If Sally sells cookies for $12 a dozen, determine the independent and dependent variables. 

The independent variable is how many dozens you buy, the dependent variable is the total cost.
100

A chipmunk eats his store of winter acorns at a constant rate of 5 a day. Using the function E(a)= -5a+60 find how long before he eats half of his stash. 

6 days

200

What does y=mx+b represent?

The slope-intercept form of a linear function where m is the slope and b is the y-intercept.

200

What is Yes?

200

Let f(x) = x2 + x + 1; find f(-5).

What is 21?

200

Does the following represent a function?

{(10, 8), (12, 4), (15, 15), (9, 4)}

Yes

200

Mary also cleans houses on the weekend. She charges $10 a room plus a $50 flat supply fee, regardless of the size of the room. Write the total charge, c, of a cleaning job as a function of the number of rooms (r).

f(r) = 10r + 50

300

What is a function?

A relationship in which each input has exactly one output. 

300

The mapping diagram shows a function or not.

What is No, not a function?

300

Based on the graph of the function, what is f(4)?

f(4) = -2

300

What test can be used to determine if a graph represents a function or not?

The vertical line test

300

The painter is selling packages of paints and brushes to students. A package of paints cost $4.50 more than a package of brushes. Write the total cost of a package of paints (p) as a function of the cost of a package of brushes (b).

p = b + 4.50

400

How do you determine if a GRAPH is a function or not?

What is the Vertical Line Test?

400

Does the following table represent a function?
x      y
1      2
2      5
6      2
2      9
5      1

What is No, because the input (x) of 2 has two different outputs (y)?


400

Write a function to represent:

Input      0  3  6 9  12

Output  −4  2 8 14 20

y = 2x - 4

400

Rod is paid an overtime rate of $25 per hour after his basic wage of $600 per week. Write a function for the total pay (p) if he works (h) hours of overtime.

p = 25h + 600

400

A new discount Netflix service charges $10 a month plus $5.00 for every family member on the plan. Write a linear function that represents the relationship between the number of people (x) and the cost of the plan (y) per month.

y = 5x + 10

500

This word describes any set of ordered pairs where each x-value is paired with one y-value.

What is a Function?

500

Is this a function and why?

What is no, because x's repeat at 8?

500

Write an equation to represent the function:

Input:       Output:

−2             4

−1             1

0               -2

1               -5

2              -8


y = -3x - 2

500

Choose the equation that is not a linear function.

A. 8x + 12 = 2y

B. y =x/5 + 20

C. x = 12y

D. y = (2x)x

D. because y = (2x)x is y = 2x^2

500

Choose the statement that describes a relationship that has a negative slope.

A. Stan makes $2 for every customer on his newspaper route.

B. Lisa’s parents give her $10 each week for her allowance.

C. Greg pays $25 each time he goes rock climbing.

D. The booster club makes $3 profit for each t-shirt they sell.

C. Greg pays $25 each time he goes rock climbing.

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