In Problems 1122 determine whether the graph is that of a fu

In Problems 11-22, determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find (a) Its domain and range (b) The intercepts if any (c) Any symmetry with respect to the x-axis, the y-axis, or the origin 12. 13. 14. 3 3 -3 3 x 3 x 16, 17 18. 1 3 3 x

Solution

11) graph is not of a function as it does not passes vertical line test

12) it is a function as it passes vertical line test

domain is (-infinity , + infinity )

range is (-infinity , + infinity )

intercepts

y intercept (0,1)

13) it is a function as it passes vertical line test

domain (-infinity , + infinity )

range (-infinity , 1 )

x intercept is (-pi/2 , 0 ) and ( pi/2 , 0 )

y intercept is (0,1)