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Following is the graph ofy = f(x). (##CEN_GRA_C01_S01_005_Q01.png" width="80%"> Find the roots of the equationf(x) = 0, f(x) = 4 and f(x) = 10.

Answer»

Solution :
(a) The root of the EQUATION F(x) = 0 occurs where graphy= f(x) meets the x-axis.
From the graph, roots of f(x) = 0 are x =- 1 and x = 2.
(b) The root of the equation f(x) = 4 occurs where the height of the graph is 4.
HENCE the roots of f(x) = 0 are x = - 2 and x = 3.
(c) The root of the equation f(x) = 10 occurs where the height of the graph is 10.
Hence the roots of f(x) = 0are x =- 3 andx =4.


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