The function f where f(x)=x² -4, is defined for all real values of x (The domain can be any real number) (a) Find the values of f(-3),S(-2). S(-1), S(0), S(1), S(2). S(3). Hence complete the table -3 -2 -1 1 23 f(x) -3 (b) Plot the points (you can use graph paper) and draw the graph of f(x)=x²-4 (c) Use your graph to write down the range of y=f(x). (Remember you can input any value of x.) (d) Write down the solutions of the equation x² -4=0. That is the values of x for which ƒ(x) = 0 (e) Explain why f is a many-to-one function and not a one-to-one function.

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.