Precalculus Functions and Their Graph

What is the asymptote of y = 2^x - 3

• y = 0

• y = -3

• x = 0

• x = -3

Find the domain and range of:
f(x) = ln(x)

• D: all real numbers
  R: y > 0

• Domain: all real numbers
  Range: all real numbers

• Domain: x > 0
  Range: all real numbers

• Domain: all real numbers
  Range: y < 0

Write the equation of the graph.

• f(x) = log₂ (x) + 3

• f(x) = log₂ (x+3)

• f(x) = log₂ (x-3)

Which equation matches this graph?

Write the equation of the graph.

• f(x) = log ₅ (x)

• f(x) = log ₂(x)

• f(x) = - log ₂(x)

• f(x) = log₂(-x)

Which equation matches the graph?

• y = 4^x + 3

• y = 4^(x-3)

• y = 4^{(x + 3)}

Write the equation of the graph.

• f(x) = log₂ (x) - 3

• f(x) = log₂ (x+3)

• f(x) = log₂(x-3)

Match the following functions with the direction of their vertical or horizontal translation

• Shifts UP

• Shifts DOWN

• NO Shift

• Shifts RIGHT

• Shifts LEFT

Write the equation for the graph.

• f(x) = log₂ (x-3)

• f(x) = log₂(x+3)

• f(x) = log₂(x) + 3