How can you tell the flag's starting height and speed by looking at the EQUATION?

answer as soon as possible pls

Question 1

The graph shows the diagonal line crossing the vertical y axis at 8. So the y intercept is 8. This is the starting height because x = 0 here. The slope of the line determines the speed. Why? Recall that the slope is the rise over run

slope = rise/run

slope = (change in y)/(change in x)

slope = (change in height)/(change in time)

When we divide a change in height, or basically a distance, over a change in time, then we end up with a speed value. For instance, let's say the flag goes up 10 feet in 2 seconds. That speed would be 10/2 = 5 feet per second.

The graph shows that when we go up 8 units on the y axis, and also go to the right 4, then we move from (0,8) to (4,16). The slope for this graph would be

slope = rise/run = 8/4 = 2

So the slope is 2

We can use the slope formula to get this same slope answer

Question 2

The equation h = 8 + 2t is the same as h = 2t + 8. Adding two numbers can be done in any order, which is why 8+2t is the same as 2t+8.

Then we'll do two replacements. Replace t with x, and replace h with y. We end up with y = 2x+8. Note how it's in the form y = mx+b

m = slope

b = y intercept

Since m = 2, the slope is 2. Since b = 8, the y intercept is 8.

The slope of 2 corresponds directly to the speed, as mentioned back in question 1 above. The y intercept being the starting height is also explained back in the previous problem.

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.

i think is 3 and 6. this took me 10 min to think.hope to and hope that my answer is brainliest.(follow me )