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PPT – Functions: Domain and Range PowerPoint presentation | free to download - id: 6fc76d-MjU1Z

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Functions Domain and Range

- Y can have more than one X.
- X cannot have more than one Y.

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

x 4 1 3 6

y 2 3 3 4

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

1)

x 4 1 3 6

y 2 3 3 4

D 4,1,3,6 R 2,3,4 yes

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

2)

(4,2), (-3,2), (8,2), (8,9), (7,5)

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

2)

(4,2), (-3,2), (8,2), (8,9), (7,5)

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

2)

(4,2), (-3,2), (8,2), (8,9), (7,5)

D4,-3,8,7 R 2,9,5 no

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

3)

(-3,1), (0,2), (2,4)

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

3)

(-3,1), (0,2), (2,4)

D-3,0,2 R 1,2,4 yes

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

3)

(1,5), (1,3), (4,5)

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

3)

(1,5), (1,3), (4,5)

D1,4 R 5,3 no

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

4)

(5,6), (-3,0), (1,1), (-3,6)

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

4)

(5,6), (-3,0), (1,1), (-3,6)

D5,-3,1 R 6,0,1 no

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

5)

(4,2), (-3,2), (8,2), (8,9), (7,5)

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

5)

(4,2), (-3,2), (8,2), (8,9), (7,5)

D4,-3,8,7 R 2,9,5 no

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

6)

(1,3), (-3,5), (-2,5), (2,3)

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

6)

(1,3), (-3,5), (-2,5), (2,3)

D1,-3,-2,2 R 3,5 yes

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

7)

(3,-4), (1,0), (2,-2), (3,2)

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

7)

(3,-4), (1,0), (2,-2), (3,2)

D3,1,2 R -4,0,-2,2 no

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

8)

(0,4), (-3,-2), (3,2), (5,1)

5-Minute Check

Write the domain and range of the relation. Then

determine whether each relation is a function.

8)

(0,4), (-3,-2), (3,2), (5,1)

D0,-3,3,5 R 4,-2,2,1

5-Minute Check

Use the scatter plot to answer each question.

3. What kind of relationship, if any, is shown by

the scatter plot?

H e i g h t

Weight (pounds)

Weights and Heights of Basketball players

5-Minute Check

Use the scatter plot to answer each question.

3. What kind of relationship, if any, is shown by

the scatter plot? positive

H e i g h t

Weight (pounds)

Weights and Heights of Basketball players

5-Minute Check

Use the scatter plot to answer each question.

3. What kind of relationship, if any, is shown by

the scatter plot? positive 4. What does the point

with the triangle around it represent?

H e i g h t

Weight (pounds)

Weights and Heights of Basketball players

5-Minute Check

Use the scatter plot to answer each question.

3. What kind of relationship, if any, is shown by

the scatter plot? positive 4. What does the point

with the triangle around it represent? 185 pound,

62 player

H e i g h t

Weight (pounds)

Weights and Heights of Basketball players

Problem-Solving strategy - Draw a Graph

Imagine you are sitting in your summer clothes

and sandals eating lunch and its 74 degrees

below zero! It happens every day on high-flying

airplanes that are far from the heat of Earths

surface.

Problem-Solving strategy - Draw a Graph

Imagine you are sitting in your summer clothes

and sandals eating lunch and its 74 degrees

below zero! It happens every day on high-flying

airplanes that are far from the heat of Earths

surface.

Altitude (thousands of feet) Temp (F)

5 41

10 23

15 4

20 -15

25 -33

Problem-Solving strategy - Draw a Graph

Imagine you are sitting in your summer clothes

and sandals eating lunch and its 74 degrees

below zero! It happens every day on high-flying

airplanes that are far from the heat of Earths

surface.

The temperature at different altitudes above sea

level when the temperature at sea level is 60F

is shown in the table at the left.

Altitude (thousands of feet) Temp (F)

5 41

10 23

15 4

20 -15

25 -33

Problem-Solving strategy - Draw a Graph

Imagine you are sitting in your summer clothes

and sandals eating lunch and its 74 degrees

below zero! It happens every day on high-flying

airplanes that are far from the heat of Earths

surface.

The temperature at different altitudes above sea

level when the temperature at sea level is 60F

is shown in the table at the left. The table

does not include an altitude for 74. At what

altitude would a jet be flying when the

thermometer has this reading?

Altitude (thousands of feet) Temp (F)

5 41

10 23

15 4

20 -15

25 -33

Problem-Solving strategy - Draw a Graph

Imagine you are sitting in your summer clothes

and sandals eating lunch and its 74 degrees

below zero! It happens every day on high-flying

airplanes that are far from the heat of Earths

surface.

The temperature at different altitudes above sea

level when the temperature at sea level is 60F

is shown in the table at the left. The table

does not include an altitude for 74. At what

altitude would a jet be flying when the

thermometer has this reading? 36,000 feet

Altitude (thousands of feet) Temp (F)

5 41

10 23

15 4

20 -15

25 -33

Problem-Solving strategy - Draw a Graph

The ordered pairs (50.7, 16.47) and (99.92,

25.42) represent data from two rows of a table

comparing cubic meters of natural gas used and

the cost. What would the bill for 140 cubic

meters of natural gas be?

Plot the points and then draw a line through both

points. Find 140 on the graph and then follow it

to the corresponding cost.

Problem-Solving strategy - Draw a Graph

Assignment 6 - 17 all. Pages 398 399