Influence of Coefficient ‘a’ on the Shape of f(x)=a/x
Consider the function \(f(x)=\tfrac{a}{x}\), where \(a\) is a non-zero constant. Explain how changing the value of \(a\) affects the shape and position of the graph. Describe the differences between positive and negative values of \(a\), and how the magnitude of \(a\) influences the steepness of the curve.