Functions & Function Notation

Front

What is a function?

Back

A function is a relation where every input has only ONE output.

Front

What does f(2) represent in a function?

Back

f(2) represents the output of the function when the input is 2.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the value of f(6) if f(6) = 15?

Back

The value of f(6) is 15.

Front

Given the function f(x) = 2x - 10, what is f(0)?

Back

f(0) = -10.

Front

What is the definition of function notation?

Back

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

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b.

Front

What is the slope in the function f(x) = 3x + 2?

Back

The slope is 3.

Front

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

Back

f(3) = 9.

Front

What is the y-intercept of the function f(x) = -2x + 5?

Back

The y-intercept is 5.