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11Alexandr11 [23.1K]
3 years ago
15

Can someone please answer this?

Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
8 0

Answer:

2

Step-by-step explanation:

As you can see from the graph, the limit of f(x) when x tends to 3 from the right is 2.

By looking at the graph, you'll notice that for values greater than 3 f(x)=2.

Anna35 [415]3 years ago
4 0

<u>Answer:</u>

The correct answer option is 7.

<u>Step-by-step explanation:</u>

We are given a graph and we are to determine the limit of the given function f(x) when x tends to approach the value of 3 from the right side (x ---> 3+ ).

So by looking at the graph, we can see that the limit when x tends to approach 3 from the right is 7.

Therefore, the correct answer option is A) 7.

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a. Find the graph of their common region in the attachment

b. The area of the common region of the graphs is 8 units²

<h3>a. How to sketch the region common to the graphs?</h3>

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

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So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)

Find the graph of their common region in the attachment

<h3>b. The area of the common region</h3>

From the graph, we see that the common region is a right angled triangle with

  • height = 4 units and
  • base = 4 units

So, its area = 1/2 × height × base

= 1/2 × 4 units × 4 units

= 1/2 × 16 units²

= 8 units²

So, the area of the common region of the graphs is 8 units²

Learn more about region common to graphs here:

brainly.com/question/27932405

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Given:

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Step-by-step explanation:

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