Function Notation

Function notation is a way to represent a function using symbols. It typically uses letters to denote the function (like f, g, h) and parentheses to indicate the input value, e.g., f(x).

$$h(8) = \frac{1}{2}(8) + 7 = 4 + 7 = 11$$ .

Set the equation: 10 = 5x - 25. Solve for x: 5x = 35, x = 7.

It represents the point (15, -1) on a graph, where 15 is the input and -1 is the output.

The independent variable is 7.

$$f(-3) = (-3)^2 + 2(-3) + 5 = 9 - 6 + 5 = 8$$ .

The independent variable is the input value that can be changed freely, affecting the output of the function.

The dependent variable is the output value that depends on the independent variable.

If $$g(15) = -1$$ , the coordinate point is (15, -1).

Function notation provides a clear way to express the relationship between input and output values in mathematics.