Graphing Rational Functions and Identifying Holes

What is the result of factoring the denominator in the given equation?

• x + 2 and x - 2

• x^2 - 4

• x^2 + 4

• Cannot be factored

What value of x creates a hole in the function?

• x = 2

• x = -2

• x = 0

• x = 1

What is the vertical asymptote of the function?

• x = -2

• x = 2

• x = 1

• x = 0

After canceling common factors, what is the simplified form of the equation?

• y = 1 / (x + 2)

• y = x - 2

• y = x + 2

• y = 1 / (x - 2)

What is the horizontal asymptote of the simplified function?

• y = 0

• y = 1

• y = -1

• y = 2

Which point is used to remind of the hole in the graph?

• x = 2

• x = -2

• x = 0

• x = 1

What is the y-value at x = 0 after simplification?

• 1

• 0

• -1/2

• 1/2

What is the domain of the function?

• All real numbers except x = 0

• All real numbers

• All real numbers except x = 1

• All real numbers except x = 2 and x = -2

What is the range of the function?

• All real numbers

• All real numbers except y = 0 and y = 1/4

• All real numbers except y = 0

• All real numbers except y = 1

What is the y-intercept of the function?

• y = 1/2

• y = 0

• y = 1

• y = -1/2