Functions Independent Variable Domain vs X Dependent Variable
Functions
Independent Variable Domain vs. X Dependent Variable Range Y The Dependent Variable depends on the Independent Variable. Y depends on X
Match the Dependent Variables to the given Independent Variables. Type of clothes you wear How much interest you earn How much you get paid How many bricks you need INDEPENDENT Temperature outside Interest Rate How many hours you work How tall a building is DEPENDENT
Relationa set of ordered pairs which can be represented by a list, table, graph, or mapping List: {(3, 4), (5, 1), (-4, 0), (2, -3)} Table: X Y Graph: 3 4 5 1 -4 0 2 -3 Mapping: -4 2 3 5 -3 0 1 4
List: {(3, 4), (5, 1), (-4, 0), (2, -3)} Domainthe set of all the x values from a relation i. e. Domain : { 3, 5, -4, 2} Rangethe set of all the y values from a relation i. e. Range : { 4, 1, 0, -3} Functiona special type of relation that pairs each domain (x) value with only one range (y) value. In short, no x value can repeat.
2. Complete the following for these ordered pairs: {( -4, 1 ), ( 0, 2), ( 1, 5 ), ( 2, -2 ), ( 3, 5)} a) Identify the Domain and Range. b) Table X input Y output -4 0 1 2 3 1 2 5 -2 5 c) Graphing d) Mapping -4 0 1 2 3 -2 1 2 5
Vertical Line Test (VLT): can be used to visually determine whether a graphed relation is a function. It test to see if any x values repeat. If a graph Passes the VLT then it is a Function. If a graph Fails the VLT then it is a Relation.
Is the graph a function? Yes, it passes the Vertical Line Test
Is the graph a function? No, it failes the Vertical Line Test
Is the following a function? -2 -1 0 2 3 5 6 7 8 Yes, the no x value repeats
Coordinates, Scatter-plot
Types of Correlations.
Identify what type of correlations you would expect to see between each pair of data sets. 1) The number of empty seats in a classroom and the number of students in the class 2) The number of pets a person owns and the number of books that a person read last year.
Interpreting Graphs
Create a story to go with the graphs
Create a story to go with the graphs
Create a story to go with the graphs
Create a story to go with the graphs
Create a story to go with the graphs
Create a story to go with the graphs
1. Four line segments are shown on the coordinate grid below. Which of the line segments has a slope of 0? A. B. C. D.
2. A graph of the relationship between the speed of a car in miles per hour and the car’s approximate stopping distance in feet is shown below. What is the approximate stopping distance for a car traveling 70 miles per hour? A. 350 ft B. 250 ft C. 325 ft D. 300 ft
3. The graph shows the number of gallons of gas used by Maria’s car as a function of the number of miles driven. About how many gallons of gas will Maria need for a 170 -mile trip? A. B. C. D. 7 gal 11 gal 8. 5 gal 9. 5 gal
4. The graph below shows the relationship between the number of tons of elephant food remaining in the zoo’s food storage bin and the number of days since the food was last purchased. How many tons of elephant food were in the bin immediately after the last purchase of food was placed in the bin? A. B. C. D. 90 tons 40 tons 50 tons 60 tons
5. The graph below represents a function related to a train’s movement over time. Which function could this graph represent? A. The distance of a train from a station it has departed as it accelerates B. The speed of a train as it decreases its rate of acceleration C. The speed of a train as it slows down when approaching a station D. The distance of a train from a station it approaches at a constant speed.
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