Function Notation (equations)

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols. It typically uses letters like f, g, or h followed by parentheses containing the input variable, e.g., f(x).

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for a given input x. It is equivalent to y in the equation y = f(x).

Front

Evaluate w(1) if w(x) = -10x - 5.

Back

w(1) = -10(1) - 5 = -15.

Front

Translate the coordinate pair (0, 8) into function notation.

Back

f(0) = 8.

Front

If f(x) = 3x - 5, find x when f(x) = 4.

Back

3x - 5 = 4; x = 3.

Front

Evaluate g(-7) if g(x) = 4x - 2.

Back

g(-7) = 4(-7) - 2 = -30.

Front

What is the output of a function when the input is 0?

Back

The output is the value of the function at x = 0, denoted as f(0).

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept, set f(x) = 0 and solve for x.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.