Question

If each one of the following graphs are the graph of a polynomial, then identify which one corresponds to a linear polynomial and which one corresponds to a quadratic polynomial?

Answer 1

(i) We observe that the graph y = f(x) is a parabola opening upwards. Therefore,f(x) is a quadratic polynomial in which coefficient of $x^2$ is positive.

(ii) We find that the graph y = g (x) is a straight line. So, g (x) is a linear polynomial.

(iii) Here, p (x) is neither linear nor quadratic.

(iv) Here, q(x) is a quadratic polynomial in which coefficient of $x^2$ is negative because the graph is a parabola opening downwards.