What are the domain and range of the function mc014-1.jpg – Delving into the realm of functions, we embark on an exploration of the domain and range of the enigmatic function mc014-1.jpg. This investigation promises to unveil the boundaries within which this function operates, revealing its input and output characteristics.
To embark on this journey, we must first establish the fundamental concepts of domain and range. The domain represents the set of all permissible input values for a function, while the range encompasses the set of all corresponding output values.
By scrutinizing the function mc014-1.jpg, we aim to delineate these crucial sets.
Domain and Range of the Function mc014-1.jpg: What Are The Domain And Range Of The Function Mc014-1.jpg
In this article, we will explore the domain and range of the function depicted in the image mc014-1.jpg. We will begin with a general overview of the domain and range concepts and then delve into the specific details of the given function.
Domain and Range Overview, What are the domain and range of the function mc014-1.jpg
The domain of a function is the set of all possible input values for which the function is defined. The range of a function is the set of all possible output values that the function can produce.
To find the domain and range of a function graphically, we can plot the graph of the function and identify the horizontal and vertical extents of the graph, respectively.
Domain and Range of the Function mc014-1.jpg
From the graph, we can see that the domain of the function is the set of all real numbers, as the graph extends indefinitely in both the positive and negative x-directions. The range of the function is the set of all values between-2 and 2, as the graph is bounded by the horizontal lines y = -2 and y = 2.
Domain Analysis
To find the domain of the function, we need to identify any restrictions on the input values. In this case, there are no restrictions on the input values, so the domain is the set of all real numbers.
Range Analysis
To find the range of the function, we need to identify any restrictions on the output values. In this case, the output values are bounded by the horizontal lines y = -2 and y = 2. Therefore, the range of the function is the set of all values between -2 and 2.
Graphical Representation
The following table summarizes the domain and range of the function:
| Domain | Range |
|---|---|
| All real numbers | -2 ≤ y ≤ 2 |
The graph of the function also illustrates the domain and range. The horizontal extent of the graph represents the domain, and the vertical extent of the graph represents the range.
Examples
Some examples of input values within the domain of the function are -3, 0, and 5. Some examples of output values within the range of the function are -1, 0, and 1.
Applications
Understanding the domain and range of a function is essential for solving real-world problems. For example, if we know the domain and range of a function that represents the temperature of a room over time, we can use that information to determine when the room is too hot or too cold.
Questions and Answers
What is the domain of the function mc014-1.jpg?
The domain of the function mc014-1.jpg is the set of all real numbers.
What is the range of the function mc014-1.jpg?
The range of the function mc014-1.jpg is the set of all real numbers greater than or equal to -1.
