Question

Which of the following represents the graph of the function f(x) = log3(x − 2)? graph begins in the third quadrant and is increasing quickly. As the graph crosses the axis at negative 1, 0, the graph does not increase as fast. The graph crosses the y axis and continues to increase slowly throughout the first quadrant. graph begins in the fourth quadrant and is increasing quickly. As the graph crosses the x axis at 3, 0, the graph does not increase as fast. The graph continues to increase slowly throughout the first quadrant. graph begins in the fourth quadrant and is increasing quickly. As the graph crosses the point 1, 2, the graph does not increase as fast. The graph continues to increase slowly throughout the first quadrant. graph begins in the fourth quadrant and is increasing quickly. As the graph crosses the point 1, negative 2, the graph does not increase as fast. The graph continues to increase slowly throughout the first quadrant.

Answer 1

Answer:The graph continues to increase slowly throughout the first quadrant.

Step-by-step explanation:The graph begins in the fourth quadrant and increases quickly there.

Answer 2

The right answer is:

The graph begins in the fourth quadrant and is increasing quickly. As the graph crosses the x axis at 3, 0, the graph does not increase as fast. The graph continues to increase slowly throughout the first quadrant.

The graph of the equation
`log3(x-2)` is shown in the figure below. As you can see, the x-intercept is the point
`(3,0)`. The domain of this function is
`(2,\infty)` and the range is the set of all real numbers. The graph begins in the fourth quadrant and increases quickly there. Next, the graph continues to increase slowly in the first quadrant.