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Qual é o domínio de h

A) -2≤x≤6

B) os valores de x iguais a -5, -2, 6, e 7

C) os valores de x iguais a -2, -1, 1, 5, e 6

D) -5≤x≤7

To find the domain of the function \(h\), we need to determine all the possible \(x\) values for which there is a corresponding point on the graph.

### Analyzing the Graph

Looking at the graph provided, we can see the points where the function \(h\) is defined:

1. \((-5, 4)\)
2. \((-2, 0)\)
3. \((6, 5)\)
4. \((7, 6)\)

### Determining the Domain

The domain of the function is the set of all \(x\) values for which the function has points. Based on the points listed:

- The \(x\) values where the function is defined are \(-5, -2, 6,\) and \(7\).

### Answer Options

Let's compare these with the answer choices:

A) \(-2 \leq x \leq 6\) — This is incorrect because it does not include all the points, particularly \(-5\) and \(7\).

B) The \(x\) values are \(-5, -2, 6,\) and \(7\) — This matches the \(x\) values from the graph, so this is the correct answer.

C) The \(x\) values are \(-2, -1, 1, 5,\) and \(6\) — These values do not match the points given on the graph, so this is incorrect.

D) \(-5 \leq x \leq 7\) — This range includes all values between \(-5\) and \(7\), not just the specified points. Therefore, this is also incorrect.

### Correct Answer

**The correct answer is B) os valores de x iguais a -5, -2, 6, e 7.**

Would you like a further explanation, or do you have any other questions?

#### Related Questions:

1. What is the range of the function \(h\) based on the given graph?
2. How do you determine if a set of points represents a function?
3. Can the domain of a function ever include only one value? Provide an example.
4. What is the difference between a continuous and discrete domain?
5. How would you write the domain in set notation?

**Tip:** Remember that the domain is all the possible \(x\) values for which the function is defined. In contrast, the range is the set of all possible \(y\) values.

Explore how to determine the domain of a function h through a step-by-step analysis. Learn about functions, domain, and range with a focus on solving mathematical problems. Suitable for Grades 7-9.

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