Let us examine the given statements:
1. Over the interval [-2.5, 0.5], the local maximum is 2.
TRUE
2. As the x-values go to positive infinity, the function's values go to
negative infinity.
The opposite happens.
FALSE
3. The function is decreasing over the interval (-1, 0.75).
The function decreases in (-1, 0), but it increases in (0, 0.75).
FALSE
4. The function is negative for the interval [-2, 0].
The function is positive in [-2, -1). It is negative only in (-1, 0].
FALSE
Answer:
-5≤y≤-1
Step-by-step explanation:
The range is the values that y takes
The smallest value of y is -5 and the largest value of y is -1
-5≤y≤-1
Explanation:
Since m is a unit in S, then, there exists b ∈ S such that m*b = 1, where 1 is the identity. Since S is a subring of R we have that m ∈ R, and therefore b is also the multiplicative inverse of m in R. The converse isnt true.
The set of real numbers is a Ring with the standard sum and multiplication. Every real number different from 0 has a multiplicative inverse. For example, the inverse of 2 is 1/2. However, 2 is not a unit on the subring of Integers Z.