a Find xintercepts b Find y intercept c Find the intervals o

(a) Find x-intercepts

(b) Find y -intercept

(c) Find the interval(s) on which the function is increasing

(d) Find the interval(s) on which the function is decreasing

(e) Find local maximum (write your answer(s) as a point(s) with two coordinates, with comma and no space)

(f) Find local minimum (write your answer(s) as a point(s) with two coordinates, with comma and no space)

Solution

a) x intercept : graph cuts the x axis at x =-1

( -1 , 0)

b) y intercept : graph cuts the y axis at y = -1

(0 , -1)

c) f(x) is increasing :x between [ 0, 2 ]

d) f(x) is deceasing : x between [ -3 , 0] and [2,4]

e) local maximum : at x = 2

( 2 , 0)

f)local minimum ( 0, -1)