A gym charges $90 as the membership fee and $25 monthly fee. For problems 14-16, use the explicit rule
1 answer:
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The smallest y can be is y = -1. The largest it can be is y = 1. The value of y can be anything in between. The value of y is a real number.
Answer: Choice D) All real numbers between -1 and 1 including -1 and 1
Note: we can write that as
which in interval notation would look like ![[-1, 1]](https://tex.z-dn.net/?f=%5B-1%2C%201%5D%20)
. The square brackets tell us to include the endpoints.
Answer: Choice D) All real numbers between -1 and 1 including -1 and 1
Note: we can write that as
Given:
The polynomial function is
To find:
The possible roots of the given polynomial using rational root theorem.
Solution:
According to the rational root theorem, all the rational roots and in the form of , where, p is a factor of constant and q is the factor of leading coefficient.
We have,
Here, the constant term is 10 and the leading coefficient is 4.
Factors of constant term 10 are ±1, ±2, ±5, ±10.
Factors of leading term 4 are ±1, ±2, ±4.
Using rational root theorem, the possible rational roots are
Therefore, the correct options are A, C, D, F.