Quiz Quiz 1 This Question 1 pt Use the graph of f to determi

Quiz: Quiz 1 This Question: 1 pt Use the graph of f to determine each of the following (a) the domain of f (b) the range of f (c) the zero(s) of f (d) f(2) (e) the intervals on which f is increasing (f) the intervals on which f is decreasing (9) the values for which f(x) 0 10 (h) any relative maxima or minima 0) the value(s) of x for which f(x) 4 G) Is f(1) positive or negative?

Solution

a) Domain of f :

x values from the graph : ( - inf , 2.5]

b) Range of f :

y values from the graph :

( - inf , 4 ]

c) zeros of f : x intercepts:

x= 2.5 ; x = -4.5

d) f(2) = 1 ( from the graph)

e) Maximum of f occurs at x= -1

So, function is increasing before x =-1 and decreases after x=-1 upto x= 2.5

Interval of increase ( - inf , -1 ]

f) interval on which f is decreasing:

[ -1 , 2.5 ]