Logarithms and Exponential Functions Calculus

Classify the following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic

• Rational

Where is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

What is the range?

• (-∞, ∞)

• (0, ∞)

• [1, ∞)

• (1, ∞)

Solve for x:

• 1

• 2

• .5

• 4

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

• x = 2

• x = -2

• y = 2

• y = -2

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Which of the following is an exponential decay model?

• y = 3 * (1/2)^x

• y = 1/2 * (3)^x

• y = -2 * (2)^x

• y = -3 * (3/2)^x

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2