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Dimas [21]
2 years ago
7

2. Graph the function y=x^2+2x-3 . Draw a chart to show at least three ordered pairs that are on the graph.

Mathematics
1 answer:
lidiya [134]2 years ago
6 0
You'd have to draw a table of x and y values first to be able to graph.
Step 1: Pick any number for x. Let's pick 2.
Step 2: Plug in 2 into the equation: y = 2^2 + 2(2) - 3
Step 3: Solve for y: 4 + 4 - 3 = 5
Step 4: So the point (ordered pair) would be (x, y) ⇒ (2, 5). You can plot that on the graph.

Follow these steps 2 more times to get at least three ordered pairs.

Make sure you have enough points to know where the graph curves, then you can connect the dots and now there you have a graph and chart :)
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Solution :

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Thus, $x \notin A \cup B$ and so $x \in \overline{A \cup B}$

Hence, $\bar{A} \cap \bar{B} \subset \overline{A \cup B}$   .........(1)

Now we will show that $\overline{A \cup B} \subset \overline{A} \cap \overline{B}$

Let $x \in \overline{A \cup B}$ ⇒ $x \notin A \cup B$

Thus x is present neither in the set A nor in the set B, so by definition of the union of the sets, by definition of the complement.

$x \in \overline{A}$ and  $x \in \overline{B}$

Therefore, $x \in \overline{A} \cap \overline{B}$ and we have $\overline{A \cup B} \subset \overline{A} \cap \overline{B}$  .............(2)

From (1) and (2),

$\overline{A \cup B} = \overline{A} \cap \overline{B}$

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