Understanding Square Root Functions

This video tutorial covers graphing square root functions, starting with an introduction to the parent function and its transformations. It explains how to graph these functions by selecting points that yield integer values, avoiding decimals for accuracy. The tutorial includes examples demonstrating graphing techniques and domain considerations. It also discusses transformations, such as shifts, and the use of graphing tools like Desmos. The video concludes with a summary of key graphing strategies and tips.

What is the first step in graphing square root functions?

• Find the asymptotes

• Calculate the derivative

• Pick some points and plot them

• Identify the domain

What is the parent function of square root functions?

• f(x) = x^2

• f(x) = x^3

• f(x) = 1/x

• f(x) = √x

Why can't negative numbers be used as input for square root functions?

• They result in complex numbers

• They make the graph undefined

• They are not real numbers

• They cause division by zero

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

• Half a parabola on its side

• A full parabola

• A line

• A circle

What is the first point plotted for the parent square root function?

• (3, 3)

• (2, 2)

• (1, 1)

• (0, 0)

What is the general shape of the graph of f(x) = √x?

• A full parabola

• A circle

• A line

• Half a parabola on its side

What is the general shape of the graph of f(x) = √x?

• A full parabola

• Half a parabola on its side

• A line

• A circle

What is the general shape of the graph of f(x) = √x?

• A line

• A full parabola

• Half a parabola on its side

• A circle

What is the general shape of the graph of f(x) = √x?

• A full parabola

• A line

• A circle

• Half a parabola on its side

What is the general shape of the graph of f(x) = √x?

• A circle

• Half a parabola on its side

• A line

• A full parabola