For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

D: {1, -3, -4,} R: {0, 1, 2, -4}

D:{0, 1, 2, 3, 4} R:{1, -3, -4}

How do you read f(x)?

"f with an x inside parenthesis"

Evaluate g ( 7 ) g\left(7\right) g ( 7 )

g ( 7 ) = 17 g\left(7\right)=17 g ( 7 ) = 1 7

g ( 7 ) = − 17 g\left(7\right)=-17 g ( 7 ) = − 1 7

g ( 7 ) = − 13 g\left(7\right)=-13 g ( 7 ) = − 1 3

g ( 7 ) = 13 g\left(7\right)=13 g ( 7 ) = 1 3

Which piecewise function corresponds to this graph? (Take your time)

f(x) = { -x+1 if x < 4; x if x ≥ 4

f(x) = { x if x < 4; -x+1 if x ≥ 4

f(x) = { x if x ≤ 4; -x+1 if x > 4

f(x) = { -x+1 if x ≤ 4; x if x > 4

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

The ball was kicked from the ground and it was in the air for 4 seconds.

The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.

The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds.

The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.

Given the graph of f(x), what does f(6) = 30 mean in context?

When 6 books are sold, the store makes $30

When 30 books are sold, the store makes $6

When 6 books are sold, the store makes $36

Given this table of the function f(x), find x when f(x)=15 and explain what it means in context.

f(1) = 15 means after 1 week the farmer has 15 pounds of soil.

f(1) = 15 means the farmer increases his soli by 15%

f(15) = 1 means after 15 weeks the farmer has 1 pound of soil.

f(1) = 15 means after 1 week the farmer has 16 pounds of soil.

What does f(1990)=214 mean in the context of the problem?

In 1990 there were 214 million people with health insurance

In 214, there were 1990 people with health insurance

When there are 1990 people, the year is 214

The math club goes to an amusement park. Student tickets cost $10 each. The bus costs $28. This is expressed as f(x) = 10x + 28. Find f(10) and explain what it means.

f(10) = 128; It costs $128 for 10 students can go on the trip.

f(10) = 100; It costs $4100 for 10 students to go on the trip.

f(128) = 10; It costs $10 for 128 students to go on the trip.

f(10) = 128; It costs $10 for 128 students can go on the trip.

The function W ( x ) W\left(x\right) W ( x ) where x = x= x = inches of rain and W ( x ) = W\left(x\right)= W ( x ) = number of wildflowers growing. Interpret W ( 5 ) = 75 W\left(5\right)=75 W ( 5 ) = 7 5 .

With 5 inches of rain, there are 75 wildflowers growing.

With 75 inches of rain, there are 5 wildflowers growing.

When it rains for 5 days there are 75 wildflowers growing.

There are 75 wildflowers growing.

The speed of the baseball is a function of the time since the baseball was hit by a bat. What does f(2) = 80 represent in this situation?

After 2 seconds the baseball is traveling at 80mph

After 80 seconds the baseball is traveling at 2mph

The baseball traveled 80mph for 2 seconds

The baseball traveled 2mph for 80 seconds

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived. Calculate the average rate of change from day 0 to day 5.

1283 − 2000 5 − 0 = − 143.4 \frac{1283-2000}{5\ -\ 0}=-143.4 5 − 0 1 2 8 3 − 2 0 0 0 = − 1 4 3 . 4

2000 − 1283 5 − 0 = 143.4 \frac{2000-1283}{5\ -\ 0}=\ 143.4 5 − 0 2 0 0 0 − 1 2 8 3 = 1 4 3 . 4

5 − 0 1283 − 2000 = − 0.007 \frac{5-0}{1283-2000}=-0.007 1 2 8 3 − 2 0 0 0 5 − 0 = − 0 . 0 0 7

5 − 0 2000 − 1283 = 0.007 \frac{5-0}{2000-1283}=0.007 2 0 0 0 − 1 2 8 3 5 − 0 = 0 . 0 0 7

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived. Interpret average rate of change from day 0 to day 5.

The store lost 143.3 popular trading cards each day.

The store gained 143.3 popular trading cards each day.

The store lost 143.3 popular trading cards each year.

The store lost 0.007 popular trading cards each day.

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived. Calculate the average rate of change from day 5 to day 15.

528 − 1283 15 − 5 = − 75.5 \frac{528-1283}{15\ -\ 5}=\ -75.5 1 5 − 5 5 2 8 − 1 2 8 3 = − 7 5 . 5

1283 − 528 15 − 5 = 75.5 \frac{1283-528}{15\ -\ 5}=75.5 1 5 − 5 1 2 8 3 − 5 2 8 = 7 5 . 5

15 − 5 1283 − 528 = 0.013 \frac{15-5}{1283-528}=0.013 1 2 8 3 − 5 2 8 1 5 − 5 = 0 . 0 1 3

15 − 5 528 − 1283 = − 0.013 \frac{15-5}{528-1283}=-0.013 5 2 8 − 1 2 8 3 1 5 − 5 = − 0 . 0 1 3

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived. Interpret average rate of change from day 5 to day 15.

The store lost 75.5 popular trading cards each day.

The store gained 75.5 popular trading cards each day.

The store lost 75.5 popular trading cards each year.

The store lost 0.013 popular trading cards each day.

Functions Unit Review

Authored by Adrian Jackson

Mathematics

9th - 12th Grade

CCSS covered

Used 4+ times

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70 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is this mapping a function or not a function?

Function

Not a Function

Tags

CCSS.8.F.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is this graph a function or not a function?

Function

Not a Function

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is this table a function or not a function?

Function

Not a Function

Tags

CCSS.8.F.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is this graph a function or not a function?

Function

Not a Function

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which set of values is a function?

(9,5) (10,5) (9,-5) (10,-5)

(3,4) (4,-3) (7,4) (3, 8)

(6,-5) (7, -3) (8, -1) (9, 1)

(2, -2) (5, 9) (5, -7) (1, 4)

Tags

CCSS.8.F.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

(3, 7)

(4, 1)

(1, 9)

(2, 6)

Tags

CCSS.8.F.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the name of the test that we do on a graph to see if it is a function?

vertical line test

horizontal line test

there isn't a name for it

slope line test

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Functions Unit Review

Is this mapping a function or not a function?

Is this graph a function or not a function?

Is this table a function or not a function?

Is this graph a function or not a function?

Which set of values is a function?

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

What is the name of the test that we do on a graph to see if it is a function?

Is this graph a function or not a function?

f(x)=2x+1If f(x)=4, what is the value of x?

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f(x)=2x+1
If f(x)=4, what is the value of x?