Exploring Adding and Subtracting Rational Expressions

Why is it important to have a graphing calculator for this section?

• To solve algebraic equations

• To visualize the transformations of functions

• To perform basic arithmetic operations

• To check spelling and grammar

What does the negative sign in front of the absolute value function indicate?

• A reflection across the x-axis

• A vertical shift

• A horizontal shift

• A reflection across the y-axis

What transformation is represented by the '-1' inside the absolute value function?

• Move up one unit

• Move down one unit

• Move right one unit

• Move left one unit

What is the effect of the '+7' outside the absolute value function?

• Move down seven units

• Move up seven units

• Move right seven units

• Move left seven units

What is the range of the transformed absolute value function?

• (-∞, ∞)

• (-∞, 7]

• (-∞, 7)

• [0, 7]

Where do the x-intercepts of the transformed absolute value function occur?

• -8 and 6

• -6 and 8

• -5 and 9

• -7 and 7

What is the parent function in the second example?

• Cubic function

• Greatest integer function

• Quadratic function

• Absolute value function

What does the '1/4' in front of the quadratic function do?

• Vertically stretch by a factor of 4

• Horizontally compress by a factor of 4

• Horizontally stretch by a factor of 4

• Vertically compress by a factor of 4

How do you input a cube root function into the graphing calculator?

• Use the square root function

• Use the absolute value function

• Use the cube root option in the math menu

• Use the logarithm function

What does the 'int' function stand for in the graphing calculator?

• Integral function

• Integer function

• Greatest integer function

• Interpolation function