Question

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, y-axis, or the origin​

Answer 1

Answer:

Following are the solution to this question:

Explanation:

If the draw a line perpendicular with y-axis thru the diagonal line check but it meets only one curved point, therefore the curve indicates a function not otherwise.  They draw a vertical line perpendicular to the y-axis there, it just intersects one more chart point, which is why a graph is a feature:

In point a:

$\to Domain= [-\pi ,\pi ]\\\\\to Range = [-1,1]$

In point b:

Its y-axis length cut also by understanding the benefits of y-interception and the x-axis length gives the x-intercept.  

$\to y-intercept = 1\\\\\to x-intercept = \frac{\pi}{2} ,- \frac{\pi}{2}$

In point C:

Every graph is y-axis symmetric because the left side of the column as well as the middle side of the graph is about the same.