x2 +x-6 Analyze the graph of the function R(x) = х -3 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) is already in factored form. 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 already in lowest terms. Locate the intercept(s) of the graph. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. and x-intercept(s) A. The graph has y-intercept (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 (Simplify your answers. Type an integer or a fraction.) and no x-intercept. C. The graph has x-intercept(s) (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) and no y-intercept. D. The graph has neither x-intercepts nor y-intercepts.

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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Question
x2 +x-6
Analyze the graph of the function R(x) =
х -3
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) is already in factored form.
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 already in lowest terms.
Locate the intercept(s) of the graph. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
and x-intercept(s)
A. The graph has y-intercept
(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
(Simplify your answers. Type an integer or a fraction.)
and no x-intercept.
C. The graph has x-intercept(s)
(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.)
and no y-intercept.
D. The graph has neither x-intercepts nor y-intercepts.
Transcribed Image Text:x2 +x-6 Analyze the graph of the function R(x) = х -3 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) is already in factored form. 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 already in lowest terms. Locate the intercept(s) of the graph. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. and x-intercept(s) A. The graph has y-intercept (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 (Simplify your answers. Type an integer or a fraction.) and no x-intercept. C. The graph has x-intercept(s) (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) and no y-intercept. D. The graph has neither x-intercepts nor y-intercepts.
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