a We are asked to use statements in function notation to determine the coordinates of the point given by the statement. We will begin by recalling what function notation looks like.
f(x)=y
In this notation (x,f(x)) is a point on the graph of the function. We will use this to determine the coordinates given by the statement f(5) is equal to 9. We can write this in function notation.
f(5)=9
From f(x)=y we can see that x=5 and y=9. Therefore, the point given by the statement is (5,9).
b The given statement is A solution of the equation f(n)=- 3 is 5. We can write this in function notation.
f(5)=- 3
From f(x)=y, we can see that x=5 and y=- 3. Therefore, the point given by the statement is (5,- 3).
