Write the piecewise defined function for the total cost of parking in the garage. That is, state the function C(x), where x is the number of hours a car is parked in the garage.

Step-by-step explanation:

Given

See attachment for question

Required

The piece-wise function

From the attachment, we have:

(1) $4/hr for first 2 hours

This is represented as:

The domain is:

(2) $2/hr for next 4 hours

Here, we have:

The total cost in the first 2 hours is:

So, this function is represented as:

----- 2 represents the first 2 hours

So, we have:

Open brackets

Collect like terms

The domain is:

(3) 0 charges for the last 2 hours

The maximum charge from (2) is:

Since there will be no additional charges, then:

And the domain is:

--- 8 represents the limit

So, we have:

i believe that is true.

step-by-step explanation:

hope my answer has you if not i'm sorry.

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'.