Answer:
A piecewise function.
Step-by-step explanation:
The problem you showed is a <em>piecewise function.</em>
In this problem, you have to plug in 3 for the value x.
However, if you take a look at the conditions that value x has, it never says that x can equal 3. <em>Thus, this function cannot be true.</em>
<em>Way to check this input is undefined: </em>
Plug in 3 for the variable x. On the first function, your output will be 4. On the second function, your output will be 8.
According to the definition of a function, a function can have many inputs but only one output. In this case, this function has one input, that is 3, but produces two outputs.
Answer:
B
Step-by-step explanation:
[1] There are two main values to science. The first is that mathematics is where we study numbers... and they appear everywhere in the world around us! We see whole numbers when we count, negative numbers when we are in debt (just look at the national debt!), fractions when we share things between people (think pizza, or chocolate bars, yum!), and decimals when we measure distances, lengths, areas, and sizes. In fact, numbers can be used to describe almost anything. Even color can be described as the amount of red, green, and blue light (the RGB system which is how computer screens work).
The second value to science is the thinking and ideas of mathematics. Mathematics is where we learn the ideas of distance and sizes (such as area and volume). It teaches us to ask, "How far?" or "How big?" These ideas are applied to study geography, biology, astronomy and more. We also learn to look for patterns. In math, these patterns are usually number or geometric patterns, but science applies this idea to discover patterns in the weather, agriculture, oceans, and more.
All except 0. The inequality is saying that x must be less than or equal to 3 which all answers except 0 are.
You can do this without drawing even. Let's say the coordinates are
A, B and C, respectively, and we're looking for D.
If the other vertex is opposite A(2,1), it will be at B+C-A = (8, 11)
If the other vertex is opposite B, it will be at A+C-B = (4, -1)
If the other vertex is opposite C, it will be at A+B-C = (0, 3)
Explanation: think of one of the vertexes as a corner of the parallelogram and you want to travel to the opposite corner. That means you must add both vectors that represent the sides. So from A to D, you'd have to add (B-A) and (C-A). That gives us A+(B-A)+(C-A) simplifies to B+C-A.
