Consider the line and the parabola .

MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials

Problem

Consider the line y=3x−6y=3x-6 and the parabola y=x2y=x^{2}. (i) Determine the xx-intercept and the yy-intercept of the line. (ii) Determine the xx-intercept and the yy-intercept of the parabola. (iii) Compare the intercept patterns of the two graphs and explain how these patterns are linked to their algebraic forms. (iv) State one difference in their domains and one difference in their ranges.

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