Analyze the graph of the function R(x) = х - 4 If needed, first write the given function as a single rational expression. Then factor the numerator and denominator of R(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. R(x) = (Do not simplify.) B. R(x) cannot be factored further. The domain of R(x) is {x | }. (Type an inequality in the form x+. Use a comma to separate answers as needed. Type each answer only once.) Write R(x) in lowest terms. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. R(x)= (Simplify your answer.) B. R(x) is in lowest terms. Locate the intercept(s) of the graph. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The graph has y-intercept and x-intercept(s) (Simplify your answers. Type integers or fractions. Use a comma to separate answers as needed. Type each answer only once.) B. The graph has y-intercept and no x-intercept. (Simplify your answer. Type integers or fractions.) O C. The graph has x-intercept(s) and no y-intercept. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) O D. The graph has neither x-intercepts nor y-intercepts. Analyze the graph of the function R(x) = Determine the behavior of the graph of R at any x-intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The graph will cross the x-axis at x = (Use a comma to separate answers as needed. Type each answer only once.) and touch but not cross the x-axis at x = B. The graph will touch but not cross the x-axis at x = (Use a comma to separate answers as needed. Type each answer only once.) C. The graph will cross the x-axis at x = (Use a comma to separate answers as needed. Type each answer only once.) D. There is no x-intercept. Determine the vertical asymptote(s), if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The vertical asymptote(s) is/are (Simplify your answer. Type an equation. Use a comma to separate answers as needed. Type each answer only once.) B. There is no vertical asymptote.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.5: Graphing Rational Functions
Problem 42PS
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Analyze the graph of the function R(x) =
х
- 4
If needed, first write the given function as a single rational expression. Then factor the numerator and denominator of R(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. R(x) =
(Do not simplify.)
B. R(x) cannot be factored further.
The domain of R(x) is {x | }.
(Type an inequality in the form x+. Use a comma to separate answers as needed. Type each answer only once.)
Write R(x) in lowest terms. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. R(x)=
(Simplify your answer.)
B. R(x) is in lowest terms.
Locate the intercept(s) of the graph. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The graph has y-intercept
and x-intercept(s)
(Simplify your answers. Type integers or fractions. Use a comma to separate answers as needed. Type each answer only once.)
B. The graph has y-intercept
and no x-intercept.
(Simplify your answer. Type integers or fractions.)
O C. The graph has x-intercept(s) and no y-intercept.
(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.)
O D. The graph has neither x-intercepts nor y-intercepts.
Transcribed Image Text:Analyze the graph of the function R(x) = х - 4 If needed, first write the given function as a single rational expression. Then factor the numerator and denominator of R(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. R(x) = (Do not simplify.) B. R(x) cannot be factored further. The domain of R(x) is {x | }. (Type an inequality in the form x+. Use a comma to separate answers as needed. Type each answer only once.) Write R(x) in lowest terms. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. R(x)= (Simplify your answer.) B. R(x) is in lowest terms. Locate the intercept(s) of the graph. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The graph has y-intercept and x-intercept(s) (Simplify your answers. Type integers or fractions. Use a comma to separate answers as needed. Type each answer only once.) B. The graph has y-intercept and no x-intercept. (Simplify your answer. Type integers or fractions.) O C. The graph has x-intercept(s) and no y-intercept. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) O D. The graph has neither x-intercepts nor y-intercepts.
Analyze the graph of the function R(x) =
Determine the behavior of the graph of R at any x-intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The graph will cross the x-axis at x =
(Use a comma to separate answers as needed. Type each answer only once.)
and touch but not cross the x-axis at x =
B. The graph will touch but not cross the x-axis at x =
(Use a comma to separate answers as needed. Type each answer only once.)
C. The graph will cross the x-axis at x =
(Use a comma to separate answers as needed. Type each answer only once.)
D. There is no x-intercept.
Determine the vertical asymptote(s), if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The vertical asymptote(s) is/are
(Simplify your answer. Type an equation. Use a comma to separate answers as needed. Type each answer only once.)
B. There is no vertical asymptote.
Transcribed Image Text:Analyze the graph of the function R(x) = Determine the behavior of the graph of R at any x-intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The graph will cross the x-axis at x = (Use a comma to separate answers as needed. Type each answer only once.) and touch but not cross the x-axis at x = B. The graph will touch but not cross the x-axis at x = (Use a comma to separate answers as needed. Type each answer only once.) C. The graph will cross the x-axis at x = (Use a comma to separate answers as needed. Type each answer only once.) D. There is no x-intercept. Determine the vertical asymptote(s), if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The vertical asymptote(s) is/are (Simplify your answer. Type an equation. Use a comma to separate answers as needed. Type each answer only once.) B. There is no vertical asymptote.
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