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We need to know about graph of a function to solve this problem. The answer to (A) is f(4)= -3 and (B) for x= f(x)=2 solutions are -5 and -1.
In a graph of a function, the input values are along the x-axis and the output values are along the y-axis. At any point, the x-coordinate gives the value that is entered and the y-coordinate gives the result. For any point lying on the y-axis, x-coordinate is 0 and for any point lying on the x-axis, y-coordinate is 0. In the given graph we need to first find the value of f(4). For this we see at what point on the graph a vertical line from x=4 intersects with the line. The intersection point is (4,-3), so f(4)=-3. For part (B) we need to solve for f(x)=2, we have to draw a horizontal line from y=2 to see where it intersects with the graph, here we find two intersection points (-5,2) and (-1,2) so we have two solutions for f(x)=2, -5 and -1.
Therefore we evaluated f(4) to get -3 and we got two solutions for f(x)=2, -5 and -1.
Learn more about graph of function here:
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