Question

Using the domain {-2,-1,0, 1, 2}, which one of the following graphs is the graph of:3 ifx > 01 if x = 0 ?x if x < 0f(x) =OA.-1OB.A

Answer 1

By using the domain {-2, -1, 0, 1, 2}, a graph that represents the graph of the given piecewise function is the first graph shown below.

In Mathematics and Euclidean Geometry, a piecewise-defined function is a type of function that is defined by two or more mathematical expressions over a specific domain.

Note: The inequality symbol < or > represents a hollow dot (circle).

The inequality symbol ≤ or ≥ represents a solid dot (circle).

Generally speaking, the domain of any piecewise-defined function is the union of all of its sub-domains. Based on the information provided about the given piecewise-defined function, it is only defined over the following domains;

Domain = 0 < x ≤ 2, for f(x) = 3.

Domain = x = 0, for f(x) = 1.

Domain = -2 ≤ x ≤ -1, for f(x) = x.

In conclusion, the overall domain for the given piecewise function is over the interval -2 ≤ x ≤ 2.

Missing information:

The question is incomplete and the missing graphs are shown in the attached picture.

Answer 2

Given:

The function is:

`f(x)=\begin{cases}{3\text{ if }x>0} \\ {1\text{ if }x=0} \\ {x\text{ if }x<0}\end{cases}`

Find-:

The graph of a function

Explanation-:

If the x > 0 the f(x) is 3. so graph of function is:

`f(x)=3\text{ if }x>0`

Domain is { 1, 2}

Graph is:

The function is:

`f(x)=1\text{ if }x=0`

So, the point of graph is:

The function is:

`f(x)=x\text{ if }x<0`

The domain is { -2, -1 }

Then the graph of a function is:

Then the overall graph of function is: