In any graph, we can have Domain as all the x coordinate values (along x-axis) of the graph. y f (x), for this you need to have the knowledge of graphs of basic maths functions. įirst, let us understand the concept of a square function along with its graph.Ī square function will always result in a positive value, but it can accept any values in R. Let’s understand the steps to find the domain and range of a parabola : Plot the graph of f (x) i.e. This U shaped graph is thus due to the possible same value of ‘f(x)’ for two ‘x’ values. Ī parabolic function will always resemble a symmetric nature along the axis of symmetry. Basically we are talking about the square function here. For example in an upward-opening vertical parabola, we’ll have the minimum point at the vertex of the parabola and the maximum value of the function should be always infinity as shown :ĭomain And Range Of A Square Function Using Graph !!Ī parabola is formed whenever we have two values of ‘x’, that will give same value for the f(x). Now clearly, the minimum and maximum value of any parabola will depend upon the shape of the graph firstly. Lets now understand the process to solve fprdomain and range in parabolic function. Now, hopefully the types of parabola is pretty clear to you. In a vertical parabola, the upwards or a downwards opening is basically based upon the sign of the coefficient of x² in the quadratic equation. In a vertical parabola, we’ll have either an Up or Down facing parabola like below :

a vertical and horizontal parabola indeed. In other words, the domain is the set of values that we can plug into a function that will result in a real y-value the range is the set of values. The range of a function is all the possible values of the dependent variable y. There are normally four types of parabola, i.e. The domain and range of a function is all the possible values of the independent variable, x, for which y is defined. Īlways remember that the degree of a parabolic function will be always ‘2’. In this post we’ll see the method to find domain and range of any parabola just by inspection quickly. You may also encounter a sideways parabola sometimes. The parabolic functions are related to the quadratic equations normally. For any parabolic function, we’ll see a common shape as the ‘ U‘ shaped pattern. The parabolic function is simply a specific type in the family of curves aong others like the ellipse, hyperbola, etc.

Domain and range of a parabola