1) The graph consists of three horizontal segments, with discontinuities (jumps) at x = 1, x = 2, and x = 3.
A horizontal segment at y = - 2 for the values x = 0 to 1.
A horizontal segment at y = - 1 for values x = 1 to 2
A horizontal segment at y = 0 for values x - 2 to 3.
2) To know whether the end points of a segment are defined by the left or the right values you have to look for the circle at the extreme of the segment: if it is a solid dot, means that the end is included, if is is an open circle (white inside) then the end is not included in that segment.
3) That function is based on the function named integer part because if relates y with the integer part of x.
The integer value function is [x] and it makes correspond y values witht he integer values of x.:
y = 0 witht the integer value of x for x between 0 and 1, excluding 1.
y = 1 with the integer value of x between 1 and 2 (excluding 2)
y = 2 with the integer value of x between 2 and 3 (excluding 3)
y = 3 with the integer value of x between 3 and 4 (excluding 4)
But our function is two units below, so it is [x] - 2
Answer:
sorry if this is wrong
Step-by-step explanation:
a. 3
b.15
c.8
By using the triangular inequality, we will see that no triangles can be made with these side lengths.
<h3>
How many triangles can be made with these side lengths?</h3>
Remember that for any triangle with side lengths A, B, and C, the triangular inequality must be true.
This means that the sum of any two sides must be larger than the other side.
A + B > C
A + C > B
B + C > A.
For the given side lengths, we will have:
8 in + 12 in > 24 in
8in + 24 in > 12 in
12 in + 24 in > 8 in.
Now, notice that the first inequality is false. So the triangular inequality is not meet. Then we can't make a triangle with these side lengths.
So we can make 0 unique triangles with these side lengths.
If you want to learn more about triangles:
brainly.com/question/2217700
#SPJ1
Answer:
18.457
Step-by-step explanation:
