Lesson 3.6, 3.7 and 4.3 Flashcard

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for the input x.

Front

What is the absolute value function?

Back

The absolute value function, denoted as |x|, returns the non-negative value of x.

Front

What is a vertical translation in graph transformations?

Back

A vertical translation shifts the graph up or down without changing its shape.

Front

What is a horizontal translation in graph transformations?

Back

A horizontal translation shifts the graph left or right without changing its shape.

Front

How do you find the common difference in an arithmetic sequence?

Back

The common difference is found by subtracting any term from the subsequent term.

Front

What is the parent function of linear functions?

Back

The parent function of linear functions is f(x) = x.

Front

What effect does adding a constant to a function have?

Back

Adding a constant to a function results in a vertical translation of the graph.

Front

What is the transformation for g(x) = f(x + 7)?

Back

This represents a horizontal translation left by 7 units.

Front

What is the transformation for h(x) = f(x) + 2?

Back

This represents a vertical translation up by 2 units.