How do use a graph to find a particular function value like y=f(x).Find 2?

Also, how do you use a graph to determine the function's domain and range?

domain is x and rang is y

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To find a particular function value using a graph, you need to locate the point on the graph where the value is located. Let's go through the steps to find the function value y = f(x) = 2 on a graph:

1. Start by plotting the graph of the function f(x) on a coordinate plane. Make sure you have the x-axis and the y-axis labeled appropriately.

2. Look for the point(s) on the graph that correspond to the x-value(s) you are interested in. In this case, we're looking for the function value y = f(x) = 2. This means we need to find the point(s) where the y-coordinate is 2.

3. Identify the x-coordinate(s) of the point(s) you found in the previous step. These x-coordinates will give you the input value(s) for which f(x) equals 2.

For example, let's say you locate two points on the graph where the y-coordinate is 2. The corresponding x-coordinates of these points are x = 1 and x = 3. Therefore, f(1) = 2 and f(3) = 2.

Now, let's move on to determining the function's domain and range using a graph:

1. The domain of a function represents all the possible input values (x-values) for which the function is defined. To find the domain using a graph, examine the x-axis and identify the range of x-values covered by the graph.

2. Look for any gaps or discontinuities in the graph where the function is not defined. These gaps might indicate exclusions or restrictions on the domain.

3. Write the domain using interval notation or as a list of individual values.

For example, if the graph covers the entire x-axis without any gaps, the domain is all real numbers, represented as (-∞, ∞). If there are gaps or discontinuities in the graph, the domain will exclude those specific x-values.

4. The range of a function represents all the possible output values (y-values) that the function can take. To determine the range using a graph, examine the y-axis and identify the range of y-values covered by the graph.

5. Look for any points where the graph has a horizontal line of symmetry. These points correspond to the maximum or minimum values of the function, indicating the range boundaries.

6. Write the range using interval notation or as a list of individual values.

For example, if the graph covers all y-values from a certain point y = a to another point y = b, the range would be represented as [a, b].

Remember that these steps are based on visual interpretation from the graph, so be as precise as possible when reading the values.