<h3>Answers:</h3>
- first box = 0
- second box = 0
- third box = 4
- fourth box = -3
It's not a typo that 0 is written twice.
==============================================================
Explanation:
This is considered a step function because it resembles steps or a staircase. The vertical pieces aren't drawn to allow it to remain a function (or else it fails the vertical line test). Also there should be open holes at each left endpoint.
Recall that any horizontal line has a slope of 0 due to the fact that the rise is 0
slope = rise/run
The rise takes care of the vertical change in position. But if the line doesn't go up or down, then rise = 0 leads to slope = 0.
In short, the slope of each horizontal portion is 0. It doesn't matter which sub-section you focus on.
This is why you'll type 0 into the first two boxes.
------------------
As for the remaining two boxes, you'll be looking where the graph is the highest and the lowest to determine the max and min y values respectively.
We see that y peaks at y = 4 at the very top. So you'll type 4 into the third box.
Furthermore, we see that the lowest part of the graph is when y = -3. Therefore, this is the minimum aka smallest y value and you'll type -3 into the fourth box.
The three even integers are 80, 82, and 84.
The sum of the first (80) and the third (84) integers = 80 + 84 = 164, verifying our answer.
A simple way to figure this out is to divide 164 by 2, which gives you 82. From this answer, if we subtract 2 to get the first integer and add 2 to get the third integer while keeping 82 as the second integer, we end up with the correct sum of 164.
Hope this helps!
1- Stretch
2- Vertex of the Parabola
3- translation
4- Quadratic Function
5- Parent Function
6- Reflection
7- Parabola
8- axis of symmetry
9- transformation<span> </span>
10-Zeros of Polynomial
11- compression
12- family of functions
13- system of equations
The third option is the best fit for the application of a linear model.
In the first option, there is likely to be a correlation but it cannot be a linear one as goals are missed even from inside the keeper's box.
In the second option, it is safe to assume that each person will at least 2 other so this will follow an exponential model.
In the third option, the stopping distance is given by the equation of motion:
s = ut + 1/2 x at²
And this shows that the distance varies linearly with speed.
To find the slope, you can either use the slope equation:
(y2-y1) / (x2-x1)
{I would recommend you remember this because you'll need to know this in the future}
or,
Just count. A slope is rise over run, so you see how far up the slope goes from one point to the other, (1), and then you see how far sideways the slope goes (2).
Going right, the slope is naturally declining downwards, so it's a negative.
The answer is B. -1/2.
