Understanding the End Behavior of Logarithmic Functions

What does the end behavior of a function describe?

• How the function behaves as x approaches positive and negative infinity

• The slope of the function at any given point

• How the function behaves as x approaches zero

• The y-intercept of the function

What is the y-intercept of the function f(x) = log base 4 (x + 4)?

• (0, 0)

• (0, 4)

• (0, 1)

• (4, 0)

If f(12) = log base 4 (16), what is the value of f(12)?

• 1

• 4

• 2

• 3

What is the vertical asymptote of the function f(x) = log base 4 (x + 4)?

• x = 1

• x = 4

• x = 0

• x = -4

As x approaches negative 4, what happens to f(x) for the function f(x) = log base 4 (x + 4)?

• f(x) approaches zero

• f(x) approaches positive infinity

• f(x) approaches negative infinity

• f(x) remains constant