Graph of `y = f(x)` is as shown in the following figure.

Find the roots of the following equations
`f(x) = 0`
`f(x) = 4`
` f(x) = x + 2`

Answer

(a) `x = -2 and x = 1`
(b) `x = - 3 and x = 2`
(c) `x = 2 and x = -2`

Explanation

Graphs of `y = f(x) ` intersect x-axis at x = -2 and x = 1, Which are roots of the equation `(x) = 0`
(b) Graph of y = f(x) intersect the line y = 4 intersect at points whose x-value are - 3 and 2, which are the roots of the equation f(x) = 4
(c) For the roots of the equation f(x) = x + 2, we draw the graph of `y = x = 2`, which passes through the points (2, 4) and (-2, 0) which lies on the graph of y = f(x) also.
so, roots of the equation f(x) = x + 2 are x = 2 and x = -2`