Eight less than four times a number is less than 56. What are the possible values of that number?
1 answer:
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Answer:
.
Step-by-step explanation:
Let denote a constant (a number, rather than a variable like
.)
Let denote an expression about
(for example,
By the factor theorem, if is a factor of
, then
. In other words, if all mentions of
in the expression
are replaced with
, then the expression should evaluate to zero.
is equivalent to
. That is:
.
Replace all mentions of in
by
to get:
.
That should evaluate to zero. Therefore: . Solve for
to get
.
Answer:
As x goes to negative infinity, g(x) goes to zero.
As x goes to positive infinity, g(x) goes to zero.
(So the answer is the second option)
Step-by-step explanation:
We have the function
First, let's look at what happens when we input smaller and smaller numbers
As we can see, as we input smaller and smaller numbers, the answer gets smaller.
Eventually, these fractions will be so small that they will get closer and closer to zero.
This same thing applies to larger and larger numbers, so the end behavior of each side will both be zero.