Introduction to Graphing Logarithmic Functions

Where is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

Classify the following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic

• Rational

What is the domain?

• (-∞, ∞)

• (0, ∞)

• [1, ∞)

• (1, ∞)

What is the base?

• 1

• 5

• 10

• 3

What is the x-intercept of log₇(x)?

• (2, 0)

• (-1, 0)

• (0, 1)

• (1, 0)

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)

Which function has a vertical asymptote?

• exponential

• logarithm

• both

• neither

Which of the following is true about the general form of a logarithmic function, f\left(x\right)=a\log_b\left(x-h\right)+k ? Select ALL that apply