Answer
(a)
$x$-intercepts: $-2$, and $1$
$y$-intercept: $-1$
(b)
local minimum at $(-1, -2)$
local maxmimum at $(1, 0)$
Work Step by Step
(a)
The $x$-intercepts can be found by looking at the points where the graph touches/crosses the $x$-axis.
The graph shows that the $x$-intercepts are at $(-2, 0)$ and $(1, 0)$.
Thus, the $x$-intercepts are: $-2$ and $1$
The graph crosses the $y$-axis at $(0,-1)$.
Thus, the $y$-intercept is $-1$.
(b)
The graph has a relative maximum at $(-1, -2)$ and a relative minimum at $(1, 0)$.
