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 Input variable goes on the horizontal (x) 
axis. 
 Output variable goes on vertical (y) axis. 
 Example: 
 This graphs shows 
the function f(x).
 Move left/right to the given input 
value. 
 From there, move up/down to find the 
output value. 
 Find: 
 f(-2) 
 f(0) 
 f(2)
 Evaluate each expression using the 
graph. 
 g(0) 
 g(2) 
 g(-4) 
 g(3)
 Evaluate: 
 h(-4) 
 h(1) 
 h(-2.5) 
 h(3) 
 h(0)
f (x)  2x 3 
 Use the functions above to evaluate 
these expressions: 
 f(2) 
 g(4) 
 h(1) 
g(t)  7  2t 
2 h(v)  3v 12v 18
Use these functions to evaluate the following expressions: 
g(r)  5  2r2 k(p)  2p 1 
 k(4) 
 z(1) 
 g(-3) 
w 
2 5 
( ) 
3 6 
z w 
w 
 
 

 Use these functions to evaluate the 
following expressions: 
f (x)  3x2  4 
 h(2) 
 f(-3) 
 g(-1)

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2.3 graphs of functions

  • 1.
  • 2.  Input variable goes on the horizontal (x) axis.  Output variable goes on vertical (y) axis.  Example:  This graphs shows the function f(x).
  • 3.  Move left/right to the given input value.  From there, move up/down to find the output value.  Find:  f(-2)  f(0)  f(2)
  • 4.  Evaluate each expression using the graph.  g(0)  g(2)  g(-4)  g(3)
  • 5.  Evaluate:  h(-4)  h(1)  h(-2.5)  h(3)  h(0)
  • 6. f (x)  2x 3  Use the functions above to evaluate these expressions:  f(2)  g(4)  h(1) g(t)  7  2t 2 h(v)  3v 12v 18
  • 7. Use these functions to evaluate the following expressions: g(r)  5  2r2 k(p)  2p 1  k(4)  z(1)  g(-3) w 2 5 ( ) 3 6 z w w   
  • 8.  Use these functions to evaluate the following expressions: f (x)  3x2  4  h(2)  f(-3)  g(-1)