Question

use the graph shown to find the following.(a) the domain and range of the function(b) the intercepts, if any(c) horizontal asymptotes, if any(d) vertical asymptotes, if any(e) oblique asymptotes, if any(a) what is the domain? select the correct choice below and fill in any answer boxes within your choice.○ a. the domain of the function is ${x mid x
eq square}$.(type an inequality in the form $x
eq$. use integers or fractions for any numbers in the expression. use a comma to separate answers as needed.)○ b. the domain of the function in the graph is the set of all real numbers.what is the range? select the correct choice below and fill in any answer boxes within your choice.○ a. the range of the function is ${y mid y
eq square}$.(type an inequality in the form $y
eq$. use integers or fractions for any numbers in the expression. use a comma to separate answers as needed.)○ b. the range of the function in the graph is the set of all real numbers.(b) find the x-intercepts, if there are any. select the correct choice below and fill in any answer boxes within your choice

Explanation:

Step1: Identify vertical asymptote (domain)

The graph has a vertical dashed line at $x=3$, so $x$ cannot equal 3.

Step2: Identify horizontal asymptote (range)

The graph has a horizontal dashed line at $y=0$, so $y$ cannot equal 0.

Step3: Find x-intercepts

The graph crosses the x-axis where $y=0$, but $y
eq0$ (horizontal asymptote), so no x-intercepts.

Step4: Identify asymptotes

Vertical asymptote is $x=3$, horizontal asymptote is $y=0$, no oblique asymptotes.

Answer:

(a) A. The domain of the function is $\{x \mid x
eq 3\}$
(b) There are no x-intercepts.
(c) Horizontal asymptote: $y=0$
(d) Vertical asymptote: $x=3$
(e) No oblique asymptotes.
(a range) A. The range of the function is $\{y \mid y
eq 0\}$