2nd Grading

• Rational function is a function if the form f(x) = P(x)/Q(x) are polynomials, and Q(x) is not equal to zero
• Word Problem #1:

  A) x

  
• Table of Values is composed of values (x) and f(x) or y that satisfy the given function
• Asymptote is a line that a curve approaches, but does not intersect
• Vertical asymptotes - zeros of its denominator
• Horizontal asymptotes:

  • If n<m ;  y=0
  • if n = m ; y = leading coefficient - a/b
  • If n>m ; no horizontal asymptotes
• Oblique Asymptotes:

  • if n = m + 1 ; divide numerator by denominator with remainder ignored
• Simplified form - Before finding all asymptote, domain, range . . . 
• asymptote - a line that a curve approaches, but does not intersect
• Word Problem #2:

  A) D

  
• Inverse of a Function:

  A) x-1/3

  
• Word Problem #3:

  A) 9/5(k-273.15)+32

  
• Word Problem #4:

  A) x

  B) x

  
• false -  The inverse of a function will always be a function
• If x is not repeated or it passed the horizontal line test - Its a function
• Word Problem #5:

  A) x+2

  
• For an inverse function to exist, the given function should be one-to-one
• same first coordinate and different second coordinates. In this case, the function has an inverse relation but not an inverse function
• “mirror” - line or the diagonal line that passes through the origin
• In solving for inverse, distribute first before solving