Graphing Logarithm

Which function has a vertical asymptote?

• exponential

• logarithm

• both

• neither

When creating a graph for f(x)=log₇(x), what should be typed into the graphing calculator?

• y₁ = log(7)x

• y₁= log(7x)

• y₁= log(x) / log(7)

• y₁= log(7) / log(x)

What is the range?

• (-∞, ∞)

• (0, ∞)

• [1, ∞)

• (1, ∞)

What is the base?

• 1

• 5

• 10

• 3

Match the graph with its equation

• y = log₅ (x + 1) + 1

• y = log₅ (x - 1) + 1

• y = log₅ (x²) + 1

• y = log₅ (x) - 1

Classify the following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic

Looking at the graph, what is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

Match the graph with its equation

• y = log₅ (x + 1) + 1 

• y = log₅ (x - 1) + 1 

• y = log₅ (x²) + 1 

• y = log₅ (x)-1

Match the graph with its equation

• y = log₄ (x)+2

• y = log₄ (x + 2) + 1 

• y = log₄ (x - 1) + 2

• y = log₄ (-x + 2)

Match the graph with its equation

• y = log₆(-x) + 1

• y = log₆(x − 2) + 1

• y = log₆(x + 2) - 1

• y = log(x-8) + 1