Understanding Adding and Subtracting Rational Expressions

What is the notation for the absolute value function?

• f(x) = x + 2

• f(x) = 1/x

• f(x) = |x|

• f(x) = x^2

What shape does the graph of the parent absolute value function resemble?

• A straight line

• A parabola

• A V shape

• A circle

Where should the vertex be placed when creating a table of values for graphing?

• In the middle of the table

• At the beginning of the table

• It doesn't matter

• At the end of the table

What is the first step in finding the x-value of the vertex for an absolute value function?

• Set the x-value equal to one

• Set the y-value equal to zero

• Set the entire function equal to zero

• Set the expression inside the absolute value bars equal to zero

What is the domain of the parent absolute value function?

• All positive numbers

• All negative numbers

• All real numbers

• All integers

How do you ensure symmetry in the graph of an absolute value function?

• By using a calculator

• By centering the vertex and using equal increments on both sides

• By plotting only negative x-values

• By plotting only positive x-values

What should you do if the vertex of an absolute value function is a fraction?

• Use a calculator to find exact values

• Both B and C

• Ignore the fraction and use whole numbers

• Graph using fractional increments for accuracy

What is the range of the function f(x) = |2x + 6|?

• y ≤ 0

• y ≤ -6

• y ≥ 0

• y ≥ -6

How do you handle graphing piecewise functions with absolute values?

• Graph each piece separately and ensure continuity

• Graph only the absolute value part

• Ignore the linear parts

• Graph only the linear parts

What is the domain of a piecewise function with no gaps in x-values?

• All integers

• All real numbers

• All negative numbers

• All positive numbers