Graphing Square Root Inequalities

The video tutorial covers graphing square root inequalities, focusing on finding starting points, plotting points, and sketching graphs. It explains the importance of understanding inequalities, shading, and the domain and range of functions. The tutorial also addresses graphing Y > 3x + 5 and negative square roots, highlighting common mistakes and providing solutions.

What is the primary focus of this lesson?

• Solving quadratic equations

• Graphing linear equations

• Finding the slope of a line

• Graphing square root inequalities

What tool can be used to graph square root inequalities?

• A compass

• A calculator

• A protractor

• A ruler

Why do error messages appear in the table before a certain point?

• The calculator is malfunctioning

• The values result in a negative under the square root

• The values are not integers

• The values are too large

How do you find the starting point of a graph?

• By checking the y-intercept

• By setting the expression under the square root to zero

• By using a ruler

• By guessing

What type of line is used to represent a 'less than' inequality?

• Bold line

• Dotted line

• Dashed line

• Solid line

What should you do after plotting the points on the graph?

• Erase the points

• Shade the graph according to the inequality

• Draw a circle around the points

• Connect the points with a solid line

What is the starting point for the inequality Y > √(3x + 5)?

• x = 3

• x = 5/3

• x = 0

• x = -2

What is the domain for the inequality Y > √(3x + 5)?

• x ≥ -5/3

• x ≤ -5/3

• x ≥ 0

• x ≤ 0

What is the starting point for the inequality with a negative square root?

• x = 3

• x = 0

• x = -2

• x = -3

What is the range for the inequality with a negative square root?

• y ≥ 0

• y ≤ 0

• y ≥ -2

• y ≤ -2