The function f(x) contains the point (-2,4), which point is contained in f -1(x)? A. (-4,2) B. (-2,-4) C. (4,-2) D. (2,-4)

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  (4, -2)

Step-by-step explanation:

If (x, y) is part of the relation f, then (y, x) will be in the inverse relation f^-1.

The point contained in f^-1(x) is (4, -2).

Additional comment

The range of f is {2, -4, -2, -4}, which has -4 repeated. That means the inverse relation is not a function. We can say that (4, -2) is a point contained in the inverse relation, but we cannot say that f^-1(x) is a function.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

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'.