Functions & Function Notation

Front

What is the definition of a function?

Back

Every input has only ONE output.

Front

Is the relation a function? Why? (x-value 11 has two y-values)

Back

No, because the x-value 11 has two y-values paired with it.

Front

Back

Front

Evaluate f(-2) if f(x) = x + 3.

Back

f(-2) = 1.

Front

If f(x) = 3x - 9, find f(5).

Back

f(5) = 6.

Front

What is function notation?

Back

Function notation is a way to denote a function using symbols, typically f(x), where 'f' is the function name and 'x' is the input.

Front

What does the domain of a function represent?

Back

The domain of a function represents all possible input values (x-values) for which the function is defined.

Front

What does the range of a function represent?

Back

The range of a function represents all possible output values (y-values) that the function can produce.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.

Front

What is the slope-intercept form of a linear equation?

Back

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