Question

HURRY PLEASE

A student was asked to determine the y-intercept for the logarithmic function f (x) = log3(x + 2) + 1. Which of the following expressions would result in the correct y-intercept?

A. the quantity log 2 over log 3 end quantity plus 1
B. the quantity log 3 over log 2 end quantity plus 1
C. 3–1 – 2
D. (–1)3 – 2

Answer 1

Explanation:

The y-intercept of a function is the point where the function crosses the y-axis. In the case of the logarithmic function f(x) = log3(x + 2) + 1, the y-intercept is the point where x = 0.

When x = 0, the expression log3(x + 2) is undefined. However, the expression log3(x + 2) + 1 is equal to 1, regardless of the value of x. Therefore, the y-intercept of the function is the point (0, 1), which means that the correct answer is B.