Attributes of Square Root Functions

Front

What is the domain of a square root function?

Back

The domain of a square root function is the set of all real numbers x such that x is greater than or equal to 0.

Front

What is the range of a square root function?

Back

The range of a square root function is the set of all real numbers y such that y is greater than or equal to 0.

Front

What is the parent function of square root functions?

Back

The parent function of square root functions is f(x) = √x.

Front

How does the graph of a square root function behave?

Back

The graph of a square root function starts at the origin (0,0) and increases gradually, approaching infinity as x increases.

Front

What is the x-intercept of the function f(x) = √(x - 1)?

Back

The x-intercept is (1, 0).

Front

What transformations can be applied to the square root function?

Back

Transformations include vertical shifts, horizontal shifts, reflections, and stretches/compressions.

Front

What is the effect of a vertical shift on the square root function?

Back

A vertical shift moves the graph up or down without changing its shape.

Front

What is the effect of a horizontal shift on the square root function?

Back

A horizontal shift moves the graph left or right without changing its shape.

Front

What is the formula for finding the x-intercept of a square root function?

Back

Set the function equal to zero and solve for x.

Front

What type of function is f(x) = √x?

Back

It is a square root function.