Question

Help with math question precalculus. The options are in the second picture

Answer 1

• Exponential model: ,horizontal asymptote

,

• Logarithmic model: ,vertical asymptote

Step-by-step explanation

The exponential model has always a horizontal asymptote. In the parent function f(x) = aˣ, the asymptote is the x-axis because the function approaches 0 as x approaches infinity.

The logarithmic model has always a vertical asymptote. In the parent function f(x) = logₐ(x), the asymptote is the y-axis because the function approaches infinity as x approaches 0.