Question

Three curves i.e.
a) $y=-x^2$
b) $y=-x^3$
c) $y=-x^7$
are depicted in the following graph and are numbered from 1 to 3.

Identify the correct relation.

• A. (a)-(1) , (b)-(2), (c)-(3)
• B. (a)-(3) , (b)-(2), (c)-(1)
• C. (a)-(1) , (b)-(3), (c)-(2)
• D. (a)-(2) , (b)-(3), (c)-(1)

Answer 1

The correct option is A

(a)-(1) , (b)-(2), (c)-(3)

When a polynomial is of the form $y=-x^n$ the graph of the polynomial is the mirror image of the graph of the polynomial $y=x^n$.

Also, when the value of $n$ increases, the graph draws closer to the y-axis when x > 1 and x < -1 and the graph draws away from the y-axis when 1>x>-1.

Thus, graph 1 represents $y=-x^2$, graph 2 represesnts $y=-x^3$ and graph 3 represesnts $y=-x^7$