Determine whether the graph below is that of a function by u

Determine whether the graph below is that of a function by using the vertical-line test. If it it, use the graph to find (a) its domain and range (b) the intercepts, if any. (c) any symmetry with respect to the x-axis, y-axis. or the origin.

Solution

vertical line intersect the graph only once throughout the domain , so graph is a function

a) domain(-4,4)

range(-2,1)

b)x intercept (-2,0),(2,0)

y intercept (0,1)

c) symmetric with respect to y axis