1. On the right, you have a graph of f(x). Answer the following questions. A. At what x values does f(x) have a horizontal tangent? Explain your solution.
B. On what interval of f(x) Is f(x) > 0? Explain your solution.
C. At what x value(s does f(x) have a relative extrema? Explain your solution.
2. On the right, you have a graph of g'(x). Answer the following questions,
A At what x values does g(x) have a horizontal tangent? Explain your solution.
I
B. On what interval of g(x) is g'(x) > 0? Explain your solution

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Step-by-step explanation:

C.

Step-by-step explanation:

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'.