# Which Graph Represents The Function H(X) = |x| + 0.5?

The graph of a function is an important tool to understand how the function behaves. Understanding the graph of a function can provide insights into the properties of the function, such as its range, domain, and symmetry. In this article, we will discuss the graph of the function H(X) = |x| + 0.5. We will look at what the graph of the function looks like, how it can be used to understand the properties of the function, and how it can be used to solve problems.

## Understanding the Graph

The graph of the function H(X) = |x| + 0.5 is a straight line that passes through the origin. The line is symmetric about the y-axis, which means that it is the same for both positive and negative values of x. The line has a positive slope, meaning that as the value of x increases, the value of y increases as well.

The graph of the function can be used to determine the domain and range of the function. The domain of the function is all real numbers, since the line passes through the origin. The range of the function is all real numbers greater than or equal to 0.5, since the line has a positive slope and the y-intercept is 0.5.

## Visualizing the Function H(X).

The graph of the function H(X) = |x| + 0.5 can be used to solve problems involving the function. For example, if we want to find the value of H(2), we can look at the graph and see that the point (2, 3.5) is on the line. This means that H(2) = 3.5. Similarly, if we want to find the value of H(-3), we can look at the graph and see that the point (-3, 2.5) is on the line. This means that H(-3) = 2.5.

The graph of the function H(X) = |x| + 0.5 can also be used to visualize the behavior of the function. For example, the graph shows that the value of H(X) increases as the value of x increases. This means that the function is increasing over its domain.

In conclusion, the graph of the function H(X) = |x| + 0.5 is a straight line that passes through the origin and is symmetric about the y-axis. The graph can be used to determine the domain and range of

The graph that represents the function h(x) = |x| + 0.5 has a simple linear equation in the form of the equation y = |x| + 0.5. This equation represents a straight-line graph with a slope of 1 and a y-intercept of 0.5.

The graph begins at (0,0.5) and rises with a slope of 1. It continues until it reaches the point x = 0, where it flattens out before it begins to decline at the same rate.

The graph can be placed in two different forms depending on how one interprets the variable x. One interpretation would be that the graph is positive for all values of x. If one takes this interpretation, then the graph looks like a parabola that rises from (0,0.5) and flattens out around x=0. From that point, the graph continues to decline as x increases beyond 0.

The other interpretation is that the graph is either positive or negative depending on the sign of x. If we take this interpretation, then the graph looks like two parabolas each rising from (0,0.5) and increasing in value until x= 0. At this point, the two parabolas merge into the same line and the graph declines as x increases beyond 0.

Obviously, this graph has an easy to understand equation and a simple shape that makes it easy to interpret. It can be used to predict the output of a given input in the form of x. It is a useful tool in understanding linear functions and their inputs and outputs.