Some questions will ask you to interpret a given graph, and others will require you to manipulate the objects on the graph or even add new required objects. Each manipulable object will be shown in the area to the right of the graph (the palette) and referred to by its color, object type, and shape of the control points, for example, black point (plus symbol). To place an object on the graph, select it from the palette and drag it onto the graph itself.
On the following graph, use the black point (plus symbol) to represent the intersection of the two lines shown.
Point0612182430364248546024211815129630PRICE (Dollars per box)QUANTITY (Thousands of boxes)
Getting more information
Sometimes, selecting objects on the graphs reveals additional information, such as the coordinates of a point, the slope of a line, or the x- and y-intercepts. Be careful when interpreting these values, however, because they do not take into account the units of the axes.
For example, you can select the coordinates of the black point (plus symbol) you placed on the graph previously to see that the intersection of the curves occurs at the point representing a quantity of blank boxes.
Working with points
Once you have placed a point on the graph, you can adjust its position by selecting the point again and repositioning it, or you can drag it off the graph entirely to remove it. Within the graph, the point will automatically snap to certain locations, or snap points. That is, you may be able to plot only coordinates that occur at multiples of 5 or whole numbers or sometimes even aperiodic intervals such as 1, 2, and 6. On the given graph, it (is not or is) possible to plot the black point (plus symbol) on the coordinates representing 21 thousand boxes and a price of $15.
Working with lines
As with individual points, the control points that define a line can be placed only on the snap points of the graph. Often (though not always), snap points coincide with the intersection of grid lines. You are graded on the position of the line itself, not the position of the control points along the line.
On the following graph, place the green line (triangle symbol) directly on top of the upward-sloping line you are given.
Hint: Make sure you plot the green line at the grid lines.
True or False: The vertical intercept of the line will always be a snap point.
True
False
Adjusting lines
Once you have placed a line on the graph, you can move the entire object without changing the slope by selecting any part of the line other than the control points, and then dragging it up, down, left, or right to the desired location. To remove the line from the graph entirely, you can select either a control point or the line itself and drag it off the graph.
Place the purple line (diamond symbol), labeled Line 2, on top of Line 1. Then, without selecting the control points, shift Line 2 up by $3 at every quantity.
Understanding graph grading
After you hit the Check Answer button, each palette icon will be marked with either a green check or a red X, indicating whether that object was placed correctly or incorrectly on the graph. In addition to the standard explanations that appear for all questions, a correct version of the graph will also appear next to each graph you constructed. Select this graph (labeled Correct Answer) to swap its position with that of the graph you submitted and to see an enlarged version of it. To switch back to the view with your graded graph being enlarged, select the smaller graph now labeled Your Answer.
Note: Not all graphs are graded, some are simply given to you to assist with answering the rest of the question. Unless the instructions tell you that a particular graph is not graded, assume that it will be graded.
Which of the following statements regarding the graphs tool are correct? Check all that apply.
All graphs contain at least one manipulable element.
All graphs contain at least one graded element.
Once you select the Correct Answer graph, you can return to the view where Your Answer is larger by selecting the Your Answer graph.
1 answer
Based on the instructions you've provided, the following statements regarding the graphs tool are correct:
All graphs contain at least one manipulable element. (This is generally implied, as the instructions mention manipulable objects and how to place them on the graph.)
Once you select the Correct Answer graph, you can return to the view where Your Answer is larger by selecting the Your Answer graph. (The instructions state that you can switch back and forth between the Correct Answer graph and Your Answer graph.)
The statement "All graphs contain at least one graded element" cannot be confirmed as correct without additional information, because you mentioned that not all graphs are graded. Therefore, this statement is not necessarily true in all scenarios.
So, the correct responses to check would be the first and third statements.
1 answer