Exploring Linear Functions: The Basics Of F(X) = X

f(x)=x

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The function f(x) = x is a linear function. It is a simple function that describes a straight line on a graph.

When graphed, the function f(x) = x passes through the origin (0,0) and increases at a constant rate of 1 (one unit of y per one unit of x). In other words, for each increase of one unit in x, there is an increase of one unit in y.

The domain of this function is all real numbers and the range is also all real numbers. This means that any value of x can be plugged in and the output will always be a real number.

The slope of this function is 1, which represents the rate of change of the function. The slope indicates the steepness of the line and since the slope of f(x) = x is positive, the line goes upwards from left to right.

One practical application of this function is in calculating the total cost of an item or service based on the quantity purchased. For example, if the cost of one unit of an item is $5, then the total cost of purchasing x units can be calculated using the function f(x) = 5x.

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