Function notation (advanced)

Lessons

• 1.
  Introduction to Function Notation
  If $f(x) = 5x^2-x+6$ find the following
  a)

  ${f(\heartsuit)}$
  
  
  b)

  ${f(\theta)}$
  
  
  c)

  ${f(3)}$
  
  
  d)

  ${f(-1)}$
  
  
  e)

  ${f(3x)}$
  
  
  f)

  ${f(-x)}$
  
  
  g)

  ${f(3x-4)}$
  
  
  h)

  ${3f(x)}$
  
  
  i)

  ${f(x)-3}$
  
  

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• 2.
  Express a Function as $f($

  $)$
  If ${f(x) = \sqrt{x},}$ write the following in terms of the function ${f.}$
  a)

  ${\sqrt{x}+5}$
  
  
  b)

  ${\sqrt{x+5}}$
  
  
  c)

  ${\sqrt{2x-3}}$
  
  
  d)

  ${-8\sqrt{x}}$
  
  
  e)

  ${-8\sqrt{2x-3}}$
  
  
  f)

  $4\sqrt{x^{5}+9}-1$
  
  

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• 3.
  Find the Value of a Function from Its Graph
  Find the value of the following from the given graph
  
  
  a)

  ${f(3)}$
  
  
  b)

  ${f(0)}$
  
  
  c)

  ${f(-5)}$
  
  
  d)

  ${f(x)=5,x=?}$
  
  
  e)

  ${f(x)=-1,x=?}$
  
  
  f)

  ${f(x)=0,x=?}$
  
  

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