Graph Exponential Natural Base e

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

Analyze the domain, range, x-intercept, and asymptote of the graph of: y=\log_ex+1

• Domain: All real numbers, Range: y > 0, x-intercept: (0.368, 0), Asymptote: y = 0

• Domain: x > 0, Range: All Real numbers, x-intercept: (0.368, 0), Asymptote: y = 0

• Domain: x > 0, Range: All Real numbers, x-intercept: (0.368, 0), Asymptote: x = 0

• Domain: x > 0, Range: All Real numbers, x-intercept: (0, 0.368), Asymptote: y = 0

The natural logarithm has what base?

• 10

• 0

• e

• -e

• Yes, it is horizontal.

• Yes, it is vertical.

• Yes, but you cannot determine horizontal or vertical.

• No

Pick the equation that matches the graph

• A

• B

• C

• D

What is the equation of the asymptote for the graph of y = e^x?

• y = 1

• y = 0

• y = -x

• y = e

Describe the behavior of the graph of y = e^(x-2).

• The graph shifts to the right by 2 units.

• The graph shifts downward by 2 units.

• The graph shifts upward by 2 units.

• The graph shifts to the left by 2 units.

What is the effect of the transformation y = e^(x+3) on the graph of y = e^x?

• It shifts the graph to the right by 3 units.

• It stretches the graph vertically.

• It shifts the graph to the left by 3 units.

• It reflects the graph over the x-axis.