Question

Part III: Identify the domain and range of the following functions. Write your answer in either inequality or interval notation

Answer 1

$\begin{gathered} a)\text{ Domain; -}\infty

Here, we want to get the domain and range of the given functions

When we talk of the domain, we are referring to the possible x-values while when we talk of range, we are talking about the possible y-values

We have for each of the functions as follows;

a) The domain of the relation spans from negative infinity to positive infinity

We have this as;

[tex]-\infty\text{ < x < }\infty$

The range of the function is;

$f(x)\text{ }\ge\text{ }-2$

b) For this function, we can see the domain from -2 to 2

In interval notation, this is;

$-2\leq\text{ x }\leq\text{ 2}$

The range of this function as we can see is from 0 to infinity

We have the interval notation as;

$2\text{ < f(x) < }\infty$

c) For this function, we have;

Domain starts from -4 and extends toward infinity

We have this as;

$-4\leq\text{ x <}\infty$

For the range, we have this as;

$0\text{ }\leq\text{ f(x) < }\infty$