Answer:
• (a)f(0)=2
,
• (b)x=2
,
• (c)x=-3
,
• (d)y=-3
Step-by-step explanation:
(a)The vertical intercept of f.
When x=0, the value of y=2
Therefore, f(0)=2
(b)The root of f.
The roots of f is the value(s) of x at which the graph intercepts the x-axis.
• The x-intercept =2
The root of f is x=2
(c)The vertical asymptotes of f.
The vertical asymptote of f is the line which the graph approaches vertically but never touches.
From the graph, the vertical asymptote of f is x=-3.
(d)The horizontal asymptote of f.
The horizontal asymptote of f is the line which the graph approaches horizontally but never touches.
From the graph, the horizontal asymptote of f is y=-3.