5: Rational Functions

Question 1

What is meant by reciprocal and what is its function?

Answer 1

• The reciprocal of a number is 1 divided by that number
• f(x) = k / x

Question 2

What is an asymptote?

Answer 2

If a curve get continually closer to a stright line, but never meets it - the straight line is called an asymptote

Question 3

What is the graph of a reciprocal function called?

Answer 3

A hyperbola

Question 4

What is a rational function?

Answer 4

A function in the form of f(x) = g(x) / h(x) where g and h are polynomials

Question 5

What is the function of a horizontal asymptote?

Answer 5

y = a/c