functions: domain and range
DESCRIPTION
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. . 5-Minute Check. Write the domain and range of the relation. Then determine - PowerPoint PPT PresentationTRANSCRIPT
Functions: Domain and Range
Y can have more than one X.
X cannot have more than one Y.
5-Minute CheckWrite the domain and range of the relation. Then
determinewhether each relation is a function. x 4 1 3 6
y 2 3 3 4
5-Minute CheckWrite the domain and range of the relation. Then
determinewhether each relation is a function. x 4 1 3 6
y 2 3 3 4
D= {4,1,3,6}; R= {2,3,4}; yes
1)
5-Minute Check
{(4,2), (-3,2), (8,2), (8,9), (7,5)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
2)
5-Minute Check
{(4,2), (-3,2), (8,2), (8,9), (7,5)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
2)
5-Minute Check
{(4,2), (-3,2), (8,2), (8,9), (7,5)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
D={4,-3,8,7}; R= {2,9,5}; no
2)
5-Minute Check
{(-3,1), (0,2), (2,4)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
3)
5-Minute Check
{(-3,1), (0,2), (2,4)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
D={-3,0,2}; R= {1,2,4}; yes
3)
5-Minute Check
{(1,5), (1,3), (4,5)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
3)
5-Minute Check
{(1,5), (1,3), (4,5)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
D={1,4}; R= {5,3}; no
3)
5-Minute Check
{(5,6), (-3,0), (1,1), (-3,6)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
4)
5-Minute Check
{(5,6), (-3,0), (1,1), (-3,6)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
D={5,-3,1}; R= {6,0,1}; no
4)
5-Minute Check
{(4,2), (-3,2), (8,2), (8,9), (7,5)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
5)
5-Minute Check
{(4,2), (-3,2), (8,2), (8,9), (7,5)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
D={4,-3,8,7}; R= {2,9,5}; no
5)
5-Minute Check
{(1,3), (-3,5), (-2,5), (2,3)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
6)
5-Minute Check
{(1,3), (-3,5), (-2,5), (2,3)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
D={1,-3,-2,2}; R= {3,5}; yes
6)
5-Minute Check
{(3,-4), (1,0), (2,-2), (3,2)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
7)
5-Minute Check
{(3,-4), (1,0), (2,-2), (3,2)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
D={3,1,2}; R= {-4,0,-2,2}; no
7)
5-Minute Check
{(0,4), (-3,-2), (3,2), (5,1)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
8)
5-Minute Check
{(0,4), (-3,-2), (3,2), (5,1)}
Write the domain and range of the relation. Then determinewhether each relation is a function.
D={0,-3,3,5}; R= {4,-2,2,1};
8)
5-Minute CheckUse the scatter plot to answer each question.
3. What kind of relationship, if any, is shown by the scatter plot?
Weights and Heights of Basketball players
Weight (pounds)
Height
5-Minute CheckUse the scatter plot to answer each question.
3. What kind of relationship, if any, is shown by the scatter plot?
positive
Weights and Heights of Basketball players
Weight (pounds)
Height
5-Minute CheckUse 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?
Weights and Heights of Basketball players
Weight (pounds)
Height
5-Minute CheckUse 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, 6’2” player
Weights and Heights of Basketball players
Weight (pounds)
Height
Problem-Solving strategy - Draw a Graph
Imagine you are sitting in your summer clothes and sandals eating lunch and it’s 74 degrees below zero! It happens every day on high-flying airplanes that are far from the heat of Earth’s surface.
Problem-Solving strategy - Draw a Graph
Imagine you are sitting in your summer clothes and sandals eating lunch and it’s 74 degrees below zero! It happens every day on high-flying airplanes that are far from the heat of Earth’s 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 it’s 74 degrees below zero! It happens every day on high-flying airplanes that are far from the heat of Earth’s surface.
Altitude(thousands of feet)
Temp(°F)
5 41
10 23
15 4
20 -15
25 -33
The temperature at different altitudes above sea level when the temperature at sea level is 60°F is shown in the table at the left.
Problem-Solving strategy - Draw a Graph
Imagine you are sitting in your summer clothes and sandals eating lunch and it’s 74 degrees below zero! It happens every day on high-flying airplanes that are far from the heat of Earth’s surface.
Altitude(thousands of feet)
Temp(°F)
5 41
10 23
15 4
20 -15
25 -33
The temperature at different altitudes above sea level when the temperature at sea level is 60°F 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?
Problem-Solving strategy - Draw a Graph
Imagine you are sitting in your summer clothes and sandals eating lunch and it’s 74 degrees below zero! It happens every day on high-flying airplanes that are far from the heat of Earth’s surface.
Altitude(thousands of feet)
Temp(°F)
5 41
10 23
15 4
20 -15
25 -33
The temperature at different altitudes above sea level when the temperature at sea level is 60°F 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
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