the graph of y = f(x) is shown below. what are all of the real solutions of f(x) = 0? answer attempt 1 out…

Answer:

( x = 0 ), ( x = 5 ), ( x = 8 )

Explanation:

Step1: Recall the definition of roots

The real solutions of ( f(x) = 0 ) are the x - intercepts of the graph of ( y = f(x) ), i.e., the values of ( x ) where the graph intersects the x - axis (( y = 0 )).

Step2: Identify x - intercepts from the graph

Looking at the given graph of ( y=f(x) ), we can see that the graph crosses the x - axis at three points.

• The first intersection point is at ( x = 0 ) (where the graph passes through the origin).
• The second intersection point is at ( x=5 ) (the graph crosses the x - axis at ( x = 5 )).
• The third intersection point is at ( x = 8 ) (the graph crosses the x - axis at ( x=8 )).

So the real solutions of ( f(x)=0 ) are ( x = 0 ), ( x = 5 ) and ( x = 8 ).