Somebody h me with this exponential function represents the data in the table?
x fx
2 25
3 125
4 625
f(x) = x4 + 9
f(x) = 4x + 9
f(x) = x5
f(x) = 5x

The correct option is 4.

Step-by-step explanation:

It is given that the table represents an exponential function.

Let the exponential function is

From the table it is noticed that the function passing through the points (2,25), (3,125) and (4,625). It means the function must be satisfied by the points.

              .... (1)

            ..... (2)

Divide equation 2 by equation 1.

The value of b is 5. Put this value in equation (1).

Divide both sides by 25.

The required function is

Therefore the exponential function is . Option 4 is correct.

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'.

answer: the answer is ann