The graph touches, but does not cross, the x-axis at x =
The graph of the function crosses the x-axis at x =
DONE

The true statements are:

Functions are used to represent graphs, ordered pairs, equations and relations

The function is given as;

Next, we plot the graph of function f(x).

From the graph (see attachment), we have the following observations:

Read more about functions and graphs at:

link

if you use photomath right away it will give you the answer not like this app that you have to wait for people.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.