Graphing With Restrictions

What is the domain and range?

• D : All real number x ≠ -3
  R: All real number y≠ 1

• D : All real number x ≠ 1
  R: All real number y≠ -3

• D : All real number x ≠ 3
  R: All real number y≠ 1

• D : All real number x ≠ -1
  R: All real number y≠ 3

What is the vertical asymptote? 

• x = 2

• y = 2

• x = 1

• y = 1

Select all the information that applies to the given rational function.

• V.A. at x = -3 and x = 1

• Hole at (1, 0)

• H.A. at y = 2

• x-intercepts at (3,0) and (1, 0)

Select all the information that applies to the given rational function.

• V.A. at x = 1

• No Holes

• H.A. at y = 0

• y-intercept at (0, 1/2)

• Vertical Asymptote. at x = -3 and x = 1

• Hole at (1, 0)

• Horizontal Asymptote at y = 2

• x-intercepts at (3,0) and (1, 0)

What is the horizontal asymptote? 

• x = 2

• x = 7

• y = 2

• y = 7

What is the horizontal asymptote to this function?

• y=4

• y=0

• y=-2

• y=1

Which of the piecewise functions matches this graph?

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The graph represents a piecewise function. How many pieces make up the function?

• 1

• 2

• 3

• 4

Which piecewise function corresponds to this graph? (Take your time)

• f(x) = { x  if x < 4;   -x+1  if x ≥ 4

• f(x) = { x  if x ≤ 4;  -x+1  if x > 4

• f(x) = { -x+1  if x < 4;  x  if x ≥ 4

• f(x) = { -x+1  if x ≤ 4;  x if x > 4