O= 4 & -4
Explain: it shows on the paper
Answer:
The degree of the polynomial is 3.
If a graph fails the vertical line test it's not a function; you can't have a single x map to two ys.
Vice versa, if the graph passes the verticle line test, it's a function.
The horizontal line test tests for injectivity aka one-to-one-ness; it has no bearing on whether something's a function.
The x-coordinate would be -4 which would be answer choice B. This is the reason bc when you look at a graph it goes from x to y same as the alphabet
The rows add up to
, respectively. (Notice they're all powers of 2)
The sum of the numbers in row
is
.
The last problem can be solved with the binomial theorem, but I'll assume you don't take that for granted. You can prove this claim by induction. When
,
so the base case holds. Assume the claim holds for
, so that
Use this to show that it holds for
.
Notice that
So you can write the expansion for
as
and since
, you have
and so the claim holds for
, thus proving the claim overall that
Setting
gives
which agrees with the result obtained for part (c).
