Given the following graph Calculate a f5 b f0 c find when fx

Given the following graph, Calculate a. f(-5). b. f(0). c. find when f(x) = -4. d. the average rate of change between x = -3 and x = 3. e. when the function is increasing and when it\'s decreasing f. local min and local max

Solution

a) f(-5)

value offunction at x = -5 is 1

f(-5) = 1

b) f(0) value of function at x =0 is -8

f(0) = -8

c) f(x) = -4

value of x when f(x) = -4

x = 2

d) avearege rate of change = 1 / 6

e) function is increasing ( -infinity , - 3 ) U ( 0 , + infinity )

function is decreasing ( -3 , 0 )

f) local minima = (0,-8 )

local maxima = ( -3 , 1 )