Unit 8 Radical function review

Front

What is a radical function?

Back

A radical function is a function that contains a variable within a radical, typically a square root, cube root, etc. The general form is f(x) = √(x - k) + h, where (h, k) is the vertex.

Front

What does the term 'domain' refer to in a function?

Back

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

Front

What is the domain of the radical function f(x) = √(x + 4)?

Back

Front

What does the term 'range' refer to in a function?

Back

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

Front

What is the range of the radical function f(x) = √(x + 4)?

Back

Front

What does 'transformation' mean in the context of functions?

Back

Transformation refers to changes made to the graph of a function, including translations, reflections, stretches, and compressions.

Front

What is a translation in graphing functions?

Back

A translation is a shift of the graph of a function in a specific direction, either horizontally or vertically.

Front

How does the graph of f(x) = √(x) translate to f(x) = √(x - 2) + 3?

Back

The graph translates 2 units to the right and 3 units up.

Front

What is the interval of increase for the function f(x) = √(x + 4)?

Back

Front

What is the starting endpoint of the graph of the radical function f(x) = √(x + 4)?

Back

The starting endpoint is (-4, 0), which is the vertex of the graph.