Square Root Function Characteristics

This video tutorial covers the parent square root function, starting with its basic definition and characteristics. It demonstrates how to graph the function using GeoGebra, highlighting the importance of inputting the correct syntax. The video explores the graph's shape, domain, and range, noting its resemblance to a sideways parabola. It discusses the function's intercepts and its increasing nature for defined x-values. Finally, the tutorial compares the square root function with other parent functions, emphasizing common intercept points.

What is the basic form of the parent square root function?

• f(x) = x^2

• f(x) = √x

• f(x) = 1/x

• f(x) = x^3

Which tool is used in the video to graph the square root function?

• Photoshop

• GeoGebra

• Desmos

• Excel

What is a characteristic shape of the square root function's graph?

• A line

• A complete parabola

• A sideways parabola

• A circle

What is the shape of the graph of the square root function?

• A line

• A parabola

• A sideways parabola

• A circle

What is the domain of the square root function?

• All negative real numbers

• All positive real numbers

• All real numbers

• All non-negative real numbers

What is the least x-value that can be input into the square root function?

• -∞

• -1

• 0

• 1

What is the domain of the square root function?

• All non-negative real numbers

• All real numbers

• All positive real numbers

• All negative real numbers

What is the least x-value that can be input into the square root function?

• -∞

• -1

• 0

• 1

What is the range of the square root function?

• All negative real numbers

• All non-negative real numbers

• All positive real numbers

• All real numbers

What happens to the graph of the square root function as x approaches infinity?

• It forms a loop

• It continues to rise

• It decreases

• It approaches a horizontal asymptote