The point on the graph of function f corresponding to f(3) = -8 is (3, -8). When f(x) = 3/4 has a solution at x = -1, the point is (-1, 3/4).
When we are given ƒ(3) is equal to -8, we can understand this as saying when the input to the function (x) is 3, the output (y) is -8.
This can be represented as a point on the graph of the function ƒ, written as a coordinate pair.
The solution is the coordinate (3, -8).
Similarly, when we are told that a solution of the equation f(x) = 3/4 is -1, it means that when the input value is -1, the output of the function ƒ is 3/4.
Therefore, the point that lies on the graph of the function represented by this information is the coordinate pair (-1, 3/4).
The probable question may be:
MAKE A CONNECTION Let ƒ be a function. Use each statement to write a point on the graph of f.
a. f(3) is equal to -8.
Solution: (___._____)
b. A solution of the equation f(x) =3/4 is -1.
Solution: (___._____)