danny is painting a doghouse. to make it durable, he will paint all sides, including the bottom. the doghouse is shaped like a rectangular prism with a triangular prism on top, as shown. how many cans of paint does danny need to cover the doghouse if each can covers 20 ft2?
cans of paint are needed to paint the entire doghouse.

Hello from MrBillDoesMath!

See Discussion below

Discussion:

A function f is even if f(-x) = f(x)

f(x)                               f(-x)                                  Are they equal?

-x^8 + 2x^6-5x           -(-x)^8 + 2(-x)^6 + 5x         No

3 abs(x) - 4                 3 abs(-x) -4                       Yes

log5 x^2                     log5 (-x)^2                        Yes

(6x)^ (1/7)                     (-6x)^(1/7)                          No

e^(x^2-x)                     e^( (-x)^2+x)                      No

(x^8 +5x^2)^(-1)           ( (-x)^8 + 5 (-x)^2) ^(-1)      Yes

Answers with Yes, above are even functions.

Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!