The function f(x) = 5x + 40 represents a linear equation. This means that f(x) is a straight line when graphed on a Cartesian plane. The coefficient of x in the equation is 5, which determines the slope of the line. In this case, the slope is positive, which means the line is slanting upwards to the right.
The constant term 40 in the equation is the y-intercept of the line, which is the point where the line intersects the y-axis. In this case, the line intersects the y-axis at the point (0, 40). This means that when x is zero, y is equal to 40.
Overall, the function f(x) = 5x + 40 describes a linear relationship between the input variable x and the output variable f(x). As x increases, f(x) also increases at a constant rate determined by the slope of the line.
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