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How to find the domain and range of a parabola?
A parabola is a quadratic polynomial function that can be plotted as per a quadratic function only.
Answer: Domain and range of a parabola can be found out using basic graph-based knowledge.
We need to make sure that en-points are excluded from the domain and range of the function.
Parabolic function: A parabolic function is simply one of the families of curves, like ellipse, hyperbola, etc that belong to the conic sections. For any parabolic function, we'll see a common shape like a "U" shaped pattern.
"Standard Parabola "
To find the domain and range of a parabola, we need to follow these steps:
Step 1: Plot the graph of f(x), that is, y = f (x), for which you need to have the knowledge of graphs of basic maths functions.
Step 2: In any graph, we can have the domain as all the x – coordinate values (along the x-axis) of the graph.
Step 3: The range is all y – coordinate values (along the y-axis) of the graph.
Step 4: Finally, you have to include/exclude the endpoints in the interval carefully by looking at the graph (for which f(x) is a valid function).
These steps are more or less the same for finding the domain and range for any function graphically.
So, to find the domain and range of a parabola all you need to do is to plot the graph of the parabola and follow the steps mentioned above.