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

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: