For each graph of f shown below answer parts ad a Find the d

For each graph of f shown below, answer parts (a)-(d) (a) Find the domain and range of f. (Enter your answer using interval notation.) domain (-o,-0.5) u (-0.5,0.5)u (0.5,00) range (0,00) (b) Find the x- and y-intercepts of the graph of f. (If an answer does not exist, enter DNE.) x-intercept (x,y)= (x,y)=(_) y-intercept (c) Determine the open intervals on which fis increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing constant ine whether fis even, odd, or neither even odd neithe X-axis symmetry . y-axis symmetry origin symmetry symmetry over the line y no symmetry (a) Find the domain and range of f. (Enter your answer using interval notation.) 00, domain range (b) Find the x- and y-intercepts of the graph of f. (If an answer does not exist, enter DNE.) x-intercept (x,y)=(1-1,01 y-intercept (x, y) = ( (c) Determine the open intervals on which fis increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing constant

Solution

1) domain is (-infinity , + infinity )

range is [ 0 , infinity )

x intercept = (0,0)

y intercept = (0,0)

c) increasing interval (0, infinity )

decreasing interval ( -infinity , 0 )

d) function is even as f(-x) = f(x)

e) the function is symmetric about y axis