Question

How does the x-intercept change in a log function.

A) Remains constant
B) Increases
C) Decreases
D) Undefined

Answer 1

In a log function, the x-intercept moves as the base of the logarithm changes. If the base is between 0 and 1, the x-intercept increases or moves to the right as the base increases. If the base is greater than 1, the x-intercept decreases or moves to the left as the base increases. If the base is 1, the log function is undefined.

Step-by-step explanation:

A log function is written in the form y = logb(x), where b is the base of the logarithm. The x-intercept is the value of x that makes y = 0. In a log function, the x-intercept moves as the base of the logarithm changes. Specifically:

• If the base is between 0 and 1, the x-intercept increases or moves to the right as the base increases.
• If the base is greater than 1, the x-intercept decreases or moves to the left as the base increases.
• If the base is 1, the log function is undefined because log1(x) is undefined for any positive value of x.

So, the correct answer is C) Decreases.