Question

Analyze the graph below to identify the key features of the logarithmic function.

Graph begins in the fourth quadrant near the line x equals 6 and increases rapidly while crossing the ordered pair 7, 0. The graph then begins to increase slowly throughout the first quadrant.

The x‐intercept is y = 7, and the graph approaches a vertical asymptote at y = 6.
The x‐intercept is x = 7, and the graph approaches a vertical asymptote at x = 6.
The x‐intercept is y = −7, and the graph approaches a vertical asymptote at y = −6.
The x‐intercept is x = −7, and the graph approaches a vertical asymptote at x = −6

Answer 1

B) The x‐intercept is x = 7, and the graph approaches a vertical asymptote at x = 6.

Answer 2

The x‐intercept is x = 7, and the graph approaches a vertical asymptote

at x = 6 ⇒ 2nd answer

Explanation:

* Lets explain how to solve the problem

- The graph represented a logarithmic function

- The graph begins in the fourth quadrant near the line x equals 6

- The graph increases rapidly while crossing the ordered pair (7, 0)

- The graph then begins to increase slowly throughout the first

quadrant

* Lets solve the problem

∵ The graph cross the x-axis at point (7 , 0)

∵ The x-intercept is the intersection between the graph and the

x-axis at point (x , 0)

∴ The x-intercept is x = 7

- If a curve approaches a line but never cross it, this line is called

asymptote

∵ The graph is near to the line the line x equals 6 but not intersect it

∴ The graph approaches a vertical asymptote at x = 6

* The x‐intercept is x = 7, and the graph approaches a vertical

asymptote at x = 6.