So I know that this isn’t the kind of app I should be speaking about my problems but I just want to burst out into tears from ho
w hard school is. I’ve stayed up multiple nights just to get one sheet of math done and in my other classes I’m doing okay but in math I got a f on my report card and I’m not sure what to do since I’ve asked my parents multiple times if their able to switch me to online school or even get me a tutor at least but they said I should use my phone and cheat but I want to learn so I could be ready for next year if we are gonna do the same thing! but even the phone I can’t cheat since I’m getting bad in my math tests so it wouldn’t matter if I even I drop out and do something else. Although I just want my family to be proud of me and I’m just freaking out since I don’t understand a single thing from the stuff we are doing in math and I know I sound dramatic but I just wanted to talk to someone about how I feel I guess.
1 answer:
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Answer:
Step-by-step explanation:
An odd function <em>f</em> is one where . We can interpret this is meaning: reflecting the graph horizontally
has the same effect as reflecting it vertically
. The only graphs that meet this requirement are ones with reflectional symmetry across the line y = x, so we can immediately elimate the functions
and
, which have horizontal symmetry, but not the kind of symmetry we're looking for.
That leaves us with and
. One feature of exponents we can utilize is that -1 to an even power is 1, while -1 to an odd power is -1. If we want
, we need to flip the signs of <em>all </em>the coefficients, and we can only do that if all the powers of x are odd. The only function with only odd powers of x is
, and plugging in -x to the function reveals that
So the only odd function on the list!