Use the graph of f to determine each of the following a the

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(4.5)

(e) the intervals on which f is increasing

(f) the intervals on which f is decreasing

f(x)less than or equals0

(h) any relative maxima or minima

(i) the value(s) of x for which f left parenthesis x right parenthesis equals 3f(x)=3

Solution

a) domain of f is ( -infinity , 1 ]

b ) range of f is ( -infinity , 3 ]

c) zeros of f are -5 and 1

d) f(-4.5) = 1

e) f is increasing at ( -infinty , -2 )

f) f is decreasing at ( -2 , 1 )

g) values for which f(x) <= 0 is ( -infinity , -3 )

h) relative maxima is at x = -2 , maxima is 3

i) f(x) = 3 at x = -2

j) f(-1) = positive