Follow the steps for graphing a rational function to graph the function F(x)= x² +7x-8 x+2 OC. The function has no oblique asymptote. Determine points, if any, at which the graph of F intersects the horizontal or oblique asymptote, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The graph of F intersects the horizontal or oblique asymptote at (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) OB. The graph of F intersects the horizontal or oblique asymptote at infinitely many points. C. There is no point at which the graph of F intersects the horizontal or oblique asymptote. OD. There is no horizontal or oblique asymptote. Use the zeros of the numerator and denominator of F to divide the x-axis into intervals. Determine where the graph of F is above or below the x-axis by choosing a number in each interval and evaluating F there. Se the correct choice below and fill in the answer box(es) to complete your choice. OA. The graph of F is below the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) ... OB. The graph of F is above the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) ⒸC. The graph of F is above the x-axis on the interval(s) and below the x-axis on the interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Follow the steps for graphing a rational function to graph the function F(x) =
x² +7x-8
x+2
OC. The function has no oblique asymptote.
Determine points, if any, at which the graph of F intersects the horizontal or oblique asymptote, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The graph of F intersects the horizontal or oblique asymptote at
(Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.)
O B. The graph of F intersects the horizontal or oblique asymptote at infinitely many points.
C. There is no point at which the graph of F intersects the horizontal or oblique asymptote.
OD. There is no horizontal or oblique asymptote.
Use the zeros of the numerator and denominator of F to divide the x-axis into intervals. Determine where the graph of F is above or below the x-axis by choosing a number in each interval and evaluating F there. Select
the correct choice below and fill in the answer box(es) to complete your choice.
O A. The graph of F is below the x-axis on the interval(s).
(Type your answer in interval notation. Use a comma to separate answers as needed.)
OB. The graph of F is above the x-axis on the interval(s)
(Type your answer in interval notation. Use a comma to separate answers as needed.)
ⒸC. The graph of F is above the x-axis on the interval(s) and below the x-axis on the interval(s)
(Type your answers in interval notation. Use a comma to separate answers as needed.)
Transcribed Image Text:Follow the steps for graphing a rational function to graph the function F(x) = x² +7x-8 x+2 OC. The function has no oblique asymptote. Determine points, if any, at which the graph of F intersects the horizontal or oblique asymptote, if one exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The graph of F intersects the horizontal or oblique asymptote at (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) O B. The graph of F intersects the horizontal or oblique asymptote at infinitely many points. C. There is no point at which the graph of F intersects the horizontal or oblique asymptote. OD. There is no horizontal or oblique asymptote. Use the zeros of the numerator and denominator of F to divide the x-axis into intervals. Determine where the graph of F is above or below the x-axis by choosing a number in each interval and evaluating F there. Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The graph of F is below the x-axis on the interval(s). (Type your answer in interval notation. Use a comma to separate answers as needed.) OB. The graph of F is above the x-axis on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) ⒸC. The graph of F is above the x-axis on the interval(s) and below the x-axis on the interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.)
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