Graphing Linear Functions and Inequalities with nSpire

The video tutorial covers graphing linear functions and inequalities, emphasizing the use of tables and intercepts. It explains how to solve equations for y and graph vertical and horizontal lines. The tutorial also demonstrates using calculators to solve equations, providing practical tips for students.

What is the first step recommended when graphing a linear function?

• Solving for y

• Plotting points

• Drawing the graph

• Creating a table

Why is it beneficial to use three points when graphing a linear function?

• To confirm the points are collinear

• To practice more calculations

• To make the graph look better

• To use more data

What is the output of f(1) if f(x) = 3x - 4?

• 1

• 0

• -1

• 2

How do you find the x-intercept of the equation 3x - 4 = 12?

• Set y to 0 and solve for x

• Divide both sides by 3

• Set x to 0 and solve for y

• Set both x and y to 0

What is the y-intercept of the equation 3x - 4 = 12?

• 3

• -3

• -4

• 4

What is the simplified form of the equation 12x = 6 + 3y?

• y = 4x - 2

• y = 4x + 2

• y = 2x + 4

• y = 2x - 4

What is the value of y when x = 2 in the equation y = 4x - 2?

• 10

• 2

• 8

• 6

What type of line is represented by the equation x = -5?

• Horizontal

• Diagonal

• Curved

• Vertical

What type of line is represented by the equation y = -2?

• Horizontal

• Diagonal

• Vertical

• Curved

What command is used to solve equations on the calculator?

• calculate

• solve

• compute

• evaluate