404,209 views
25 votes
25 votes
Y=f(x) and find the domain of f(x)Options for range:[0,5) (0,5)[0,5][-2,3](-2,3)

Y=f(x) and find the domain of f(x)Options for range:[0,5) (0,5)[0,5][-2,3](-2,3)-example-1
User Lista
by
2.8k points

1 Answer

12 votes
12 votes

Answer:

• Domain: (0,5)

,

• Range: [-2,3]

Step-by-step explanation:

Domain

The domain is the set of all the real values x along the x-axis for which there is a point on the given graph.

The graph is open at x=0 and open at x=5.

Therefore, the domain of f(x) is:


\begin{gathered} Inequality\; Notation\colon0Range<p>The range is the set of all the real values y along the y-axis for which there is a point on the given graph.</p><p>• The minimum value of y=-2 and the graph is closed at that point.</p>,<p>• The maximum value of y=3 and the graph is also closed at that point</p><p>We represent the range using the notation below:</p>[tex]\begin{gathered} Inequality\; Notation\colon-2\leqslant y\leqslant3\text{ } \\ Interval\; Notation\colon\lbrack-2,3\rbrack \end{gathered}

User Tarsha
by
3.2k points