Identifying Functions, Domain, Range, Independent Dependent Variables

The set of x-coordinates of the ordered pairs of a relation is called?

• range
• relation
• domain
• correlation

If ones set of data values increases as another set of data values decreases, the relationship can be described as having a(n)...

• Positive Correlation
• Negative Correlation
• No Correlation
• Complication

Choose the relationship that fits the table, graph, and mapping diagram.

• {(-1,0), (0,1), (2,1), (3,4)}
• {(-2,-1), (-1,1), (2,3), (3,4)}
• {(-4,5), (-2,3), (0,1), (2,-1)}
• {(-2,-1), (-1,0), (0,-1), (2,-1)}

Give the domain and range of the relation.
{(-2,-1), (-1,0), (0,-1), (1,0), (2,-1)}

• D: {-2, -1, 0, 1, 2}
  R: {-1, 0}
• D: {-1, 0}
  R: {-2, -1, 0, 1, 2}
• D: {-2, -1, 0, 1, 2}
  R: {-1, -1, -1, 0, 0}
• D: {-2 < x < 2}
  R: {-1 < y < 0}

Give the domain and range of the relation.

• D: {-4, -3, -2, -1, 0, 1, 2, 3}
  R: {-3, -2, -1, 0, 1, 2, 3, 4, 5}
• D: {-4, -3, -2, -1, 0, 1, 2, 3}
  R: {2, 3, 4, 5}
• D: {-4 < x < 3}
  R: {2 < y < 5}
• D: {-4 < x < 3}
  R: {-3 < y < 5}

Give the domain and range. Tell if it is a function.

• D: {-4, -2, 0, 2}
  R: {-2, -2, 1, 1}
  Function
• D: {-4, -2, 0, 2}
  R: {-2, 1}
  Function
• D: {-4, -2, 0, 2}
  R: {-2, -2, 1, 1}
  Not a Function
• D: {-4, -2, 0, 2}
  R: {-2, 1}
  Not a Function

A local parking garage charges $5.00 for the first hour plus $1.50 for each additional hour or part of an hour. Write a relation where x represents the hours, and y represents the cost. Is it a function?

• y = 1.50x + 5
  Function
• y = 5x + 1.50
  Function
• y = 1.50x + 5
   Not a Function
• y = 5x + 1.50
  Not a Function

Determine the relationship. Write an equation.
X:     1,    2,    3,    4
Y:   -6,  -5,  -4,  -3

• y = x - 7
• y = -7x
• y = 7 - x
• No Relationship

Identify the Independent and Dependent Variables, then write a rule in function notation.
A baker spends $6 on ingredients for each cake he bakes.

• Ind: Cost
  Dep: Cakes
  f(c) = 6c
• Ind: Cakes
  Dep: Cost
  f(c) = c + 6
• Ind: Cost
  Dep: Cakes
  f(c) = c + 6
• Ind: Cakes
  Dep: Cost
  f(c) = 6c

Evaluate each function for the given inputs.
For h(t) = 7 - |t + 3|, 
find h(t) when t = -4 and when t = 5

• h(-4) = 10
  h(5) = -1
• h(-4) = -6
  h(5) = 1
• h(-4) = 10
  h(5) = 1
• h(-4) = 6
  h(5) = -1