Understanding the Square Root Function

The video tutorial explains how to complete a table of values and graph the basic square root function, f(x) = √x. It discusses the domain of the function, which includes all non-negative numbers, and demonstrates how to use a graphing calculator to plot the function. The tutorial guides viewers through entering the function into the calculator, using the table feature to find values, and rounding irrational numbers. It emphasizes the importance of perfect squares for manual calculations and concludes with plotting points to sketch the graph, verifying the results using the calculator.

What is the domain of the square root function f(x) = √x?

• x > 0

• x ≤ 0

• x ≥ 0

• x < 0

Why can't we evaluate non-perfect square values by hand easily?

• They are complex numbers.

• They are undefined.

• They are irrational numbers.

• They are negative numbers.

What feature of the graphing calculator is used to find specific points on the function?

• Graph feature

• Table feature

• Zoom feature

• Trace feature

When rounding irrational numbers from the table, to how many decimal places are they rounded?

• Four decimal places

• Two decimal places

• One decimal place

• Three decimal places

What is the approximate value of √2?

• 2.00

• 2.34

• 1.73

• 1.41

Why are perfect squares important when calculating square roots by hand?

• They are always positive.

• They simplify to whole numbers.

• They are easier to graph.

• They are always rational.

What is the square root of 9?

• 2

• 5

• 3

• 4

Which of the following points is plotted on the graph of f(x) = √x?

• (5, 5)

• (3, 3)

• (2, 2)

• (0, 0)

How many points are plotted to make a nice graph of the square root function?

• 6 points

• 5 points

• 4 points

• 3 points

What does the graph of f(x) = √x look like?

• A straight line

• A parabola

• A curve starting at (0,0) and moving right

• A circle