Jordan wants to play a basketball game at a carnival. The game costs the player $ 5 $5dollar sign, 5 to play, and the player gets to take two long-distance shots. If they miss both shots, they get nothing. If they make one shot, they get their $ 5 $5dollar sign, 5 back. If they make both shots, they get $ 10 $10dollar sign, 10 back. Jordan has a 40 % 40%40, percent chance of making this type of shot. Here is the probability distribution of X = X=X, equals the number of shots Jordan makes in a randomly selected game, and M = M=M, equals the amount of money Jordan gains from playing the game. X = # of shots made X=# of shots madeX, equals, \#, start text, space, o, f, space, s, h, o, t, s, space, m, a, d, e, end text 0 00 1 11 2 22 M = money gained M=money gainedM, equals, start text, m, o, n, e, y, space, g, a, i, n, e, d, end text − $ 5 −$5minus, dollar sign, 5 $ 0 $0dollar sign, 0 $ 5 $5dollar sign, 5 Probability 0.36 0.360, point, 36 0.48 0.480, point, 48 0.16 0.160, point, 16 Calculate the mean of X XX. μ X = μ X ​ =mu, start subscript, X, end subscript, equals shots made

oh yes daddy

Step-by-step explanation:

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.

step-by-step explanation: