Answer the questions and show all your work on separate paper.
Reema wants to build a coat rack for the front hallway. The wall is
Checklist
4 feet long, and the piece of wood she has for the rack is 28
Did You...
inches long. She wants to center the coat rack on the wall. There
Draw a detailed
needs to be an equal amount of space, about 7 or 8 inches,
diagram?
between the coat hooks. The first and last hooks should be no
Check all your
calculations?
less than 1 inches from either end of the wood. How many
Complete all parts
hooks should Reema use? What is the distance between the
of the problem?
hooks? What is the distance of each hook from the left edge of
the wood?
Draw and label a diagram of the coat rack on the wall. Mark all the measurements for
placing the wood on the wall, and for attaching the hooks on the wood. You can use
either fractions or decimals to label and calculate the measurements
Reflect
Reflect on Mathematical Practices After you complete the task, choose one of
the following questions to answer.
• Model What models helped you to solve this problem? How did they help?
• Be Precise When was it easier to use fractions, and when was it easier to work with
decimal numbers?

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

the answer is d on edge

step-by-step explanation: