If f(x) = 0, what is x?
0 only
–6 only
–2, 1, or 3 only
–6, –2, 1, or 3 only
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Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
if f(x)=0
if we let y=f(x)
then,
y=0,
So, that means when f(x) touches the x-axis,
According to the graph, we get that
At x= -2 f(x)=0
As xi negative in Second quadrant , and here we can see that f(x) touches the x-axis and intersect it.
At x=1, f(x)=0
At x=3, f(x)=0.
In above cases 'x' is positive, so, x lies in First quadrant, here too f(x) crosses the x-axis twice.
Hence, Third option is correct.
Answer:
Third option (–2, 1, or 3) is correct.
Step-by-step explanation:
The given: if [tex]f(x)=0[/tex]
we need to find the points on [tex]x[/tex], when [tex]f(x)=0[/tex]
Since, [tex]y=f(x)[/tex]
then,
[tex]y=0[/tex]
This means f(x) touches the x-axis
In provided graph, we can see at [tex]x= -2,1\; or 3[/tex] the [tex]y=f(x)=0[/tex]
Hence, Third option (–2, 1, or 3) is correct.