Lecture 5: Polynomial, Exponential and Rational Functions

Question 1

quadratic functions

Answer 1

• a quadratic function has the form f(x)= ax^2 +bx + c
  with a not being 0

Question 2

graphing a quadratic function

Answer 2

• the graph of a quadratic function is a parabola
• if a>0 the parabola opens upwards
• if a<0 the parabola opens downwards

Question 3

to draw a graph of a quadratic function you need to find

Answer 3

• the y intercept
• vertex
• the x intercepts

Question 4

there are two ways to find x - intercepts

Answer 4

• through factorization
• using the quadratic formula

Question 5

a polynomial function

Answer 5

• F(x) = anything

Question 6

rational function

Answer 6

• a function of the form f(x) = p(x)/q(x)
• the set of numbers x such that Q(x) is not equal to 0 = domain
• the equation x=a for which Q(x) = 0 is the vertial asymptote