Function Notation

Front

Define function notation.

Back

Function notation is a way to represent a function using symbols, typically in the form f(x), where f is the name of the function and x is the input variable.

Front

What does h(-4) = 1 represent as an ordered pair?

Back

The statement h(-4) = 1 represents the ordered pair (-4, 1).

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's expression and simplify.

Front

Given f(x) = x^2 - 3 + 2x, find f(6).

Back

f(6) = 6^2 - 3 + 2(6) = 36 - 3 + 12 = 45.

Front

What is the output of the function g(x) = 4x - 7 when x = -9?

Back

g(-9) = 4(-9) - 7 = -36 - 7 = -43.

Front

If f(x) = x + 3, what is f(-2)?

Back

f(-2) = -2 + 3 = 1.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a function to be defined at a point?

Back

A function is defined at a point if there is a corresponding output value for that input in the function's rule.

Front

How do you express a function's output in terms of its input?

Back

You express a function's output in terms of its input by using function notation, such as f(x) or g(x).

Front

What is the significance of the ordered pair (x, f(x))?

Back

The ordered pair (x, f(x)) represents a point on the graph of the function, where x is the input and f(x) is the output.