Scatter plot
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When you have two points of a line, you can connect the dots.
yes in mathematical world every solution have its graphical representation and its common sense that two points on a graph form only one line.......so two points are always colloinear.....!
Of course not.The graph of [ f(x) = 4 ] is the straight line [ Y = 4 ] . . . a perfectly good function with all of its points on the same horizontal line.The graph of [ f(x) = x2 ] is the parabola with its nose at the origin and opening upwards. Another perfectly good function which has two points on every horizontal line [ Y = K ].In fact, I think probably every f(x) that has 'x to some power' in it always has at least two points on the same horizontal line.
The following problem is a parabola so there is only one turning points so the answer is going to be: 2
A polynomial function have a polynomial graph. ... That's not very helpful is it, but the most common formal definition of a function is that it is its graph. So, I can only describe it. A polynomial graph consists of "bumps", formally called local maxima and minima, and "inflection points", where concavity changes. What's more? They numbers and shape varies a lot for different polynomials. Usually, the poly with higher power will have more "bumps" and inflection points, but it is not a absolute trend. The best way to analyze the graph of a polynomial is through Calculus.