Examine these graphs and describe a situation that could match the situation represented by the graph.
Plotted points on grid. Horizontal axis, number of times sprayed, by twos. Vertical axis, number of weeds, by twenties. Points plotted at 0 comma 300, 1 comma 233, 2 comma 181, 3 comma 141, 4 comma 110, 5 comma 89, 6 comma 68, 7 comma 51, 8 comma 40, 9 comma 31, 10 comma 25, 11 comma 20, 12 comma 15, 13 comma 11, 14 comma 9, 15 comma 8, 16 comma 7, 17 comma 6, 18 comma 5, 19 comma 4, 20 comma 2.
Graph on coordinate plane. Horizontal axis, time in seconds, by twos. Vertical axis, height of ball above the ground in feet, by tens. Graph begins at origin and ends around 15 point 3 comma 0.
For each situation, give an example of a value that could be:
In the domain.
Not in the domain.
In the range.
Not in the range.
11.3
Activity
Standards Alignment
Building On
Addressing
Building Toward
F-IF.4
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
The graph relates the length of a side for a square and the area of the square.
Graph on the coordinate plane. Horizontal axis, side length of a square, by twos. Vertical axis, area of a square, by twos. Graph goes through the origin and increases vertically on both sides of the y axis.
The graph relates the number of students going on a field trip and the cost of the trip.
The graph represents Han’s height since he was 4 years old until now when he is 14.
On each graph, draw a more realistic graph.
None
Standards Alignment
None
Building On
Addressing
Building Toward
Standards Alignment
Building On
Addressing
Building Toward
F-IF.5
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.