Graphing Rational Functions in H,K Form

Which of the following is NOT one of the objectives of this lesson?

• Solving quadratic equations

• Graphing rational functions

• Finding equations of vertical and horizontal asymptotes

• Stating the domain and range for rational functions

What is a rational function?

• A function that is always quadratic

• A function that is always linear

• A function that has no denominator

• A function that can be described as a fraction

What must be true about the denominator of a rational function?

• It can never be zero

• It must be a constant

• It must be a polynomial

• It can be zero

In HK form, what does the 'H' represent?

• The numerator

• The vertical asymptote

• The horizontal asymptote

• The value that makes the denominator zero

How do you find the vertical asymptote in HK form?

• By finding the value of K

• By finding the value of A

• By setting the numerator equal to zero

• By setting the denominator equal to zero

What is the equation of the horizontal asymptote in HK form?

• x = h

• y = k

• y = h

• x = k

When graphing a rational function, what should you do with the asymptotes?

• Draw them as solid lines

• Ignore them

• Dash them in as boundary lines

• Draw them as curves

What is the domain of a rational function?

• All x-values except those that make the denominator zero

• All y-values except those that make the numerator zero

• All x-values

• All y-values

How is the range of a rational function determined?

• By finding all x-values

• By finding all x-values except those that make the function undefined

• By finding all y-values

• By finding all y-values except those that make the function undefined

What does the end behavior of a rational function describe?

• The behavior of the function as x approaches positive or negative infinity

• The behavior of the function as y approaches zero

• The behavior of the function as x approaches zero

• The behavior of the function as y approaches positive or negative infinity