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5. Find the domain of the rational function f(x)=****-2 A. All real numbers except -2 B. All real numbers except -1 x+2 C. All real numbers except 1 D. All real numbers except 2

5. Find the domain of the rational function f(x)=****-2 A. All real numbers except -2 B. All real numbers except -1 x+2 C. All real numbers except 1 D. All real numbers except 2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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x²+x-2 5. Find the domain of the rational function f(x)= A. All real numbers except -2 B. All real numbers except -1 x+2 C. All real numbers except 1 D. All real numbers except 2 6. The graph of y ==+5 looks like that of y == but is shifted A. Left 5 units B. Up 5 units C. right 5 units D. down 5 units 7. What is the domain of the function defined by h(x) =*+4? A. All real numbers except 4, -4 B. All real numbers except 0, 4 x²+16 C. All real numbers D. {-4,4} 8. What is the range of the function (x) ==? A. All real numbers B. All positive real numbers C. all negative real numbers D. all real numbers except 0 9. Solve for the inequality: >0 В. х >7 A. x< -5 C. -5 < x <7 D. (-∞,–5) U (7, 0) 10. Which of the following statements is false? A. A rational function is a quotient of two polynomials. B. Let f(x) = gx) is a rational function. If the degree of the numerator is greater than the degree of the denominator there horizontal asymptote is y = 0. C. Let f(x) = g(x) is a rational function. If the degree of the numerator is greater h(x) than the degree of the denominator there is no horizontal asymptote. D. Let f(x) = g(x) h(x) is a rational function. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote will be the ratio of the leading coefficients. 3x²-2 11. What is the horizontal asymptote of the graph of y 5x+3 A. no horizontal asymptote В. у %3D0 C. y = D. y=1 x-2 12. What is the vertical asymptote of the graph of 4x+5 A. x = - В. х — D. x= C. X = For 13-15. TRUE or FALSE 13. Every rational function has vertical asymptote. 14. Rational function is a quotient of two polynomial functions, where the denominator is not equal to zero. x+7 15. = 8 is an example of a rational function x-4
Transcribed Image Text:x²+x-2 5. Find the domain of the rational function f(x)= A. All real numbers except -2 B. All real numbers except -1 x+2 C. All real numbers except 1 D. All real numbers except 2 6. The graph of y ==+5 looks like that of y == but is shifted A. Left 5 units B. Up 5 units C. right 5 units D. down 5 units 7. What is the domain of the function defined by h(x) =*+4? A. All real numbers except 4, -4 B. All real numbers except 0, 4 x²+16 C. All real numbers D. {-4,4} 8. What is the range of the function (x) ==? A. All real numbers B. All positive real numbers C. all negative real numbers D. all real numbers except 0 9. Solve for the inequality: >0 В. х >7 A. x< -5 C. -5 < x <7 D. (-∞,–5) U (7, 0) 10. Which of the following statements is false? A. A rational function is a quotient of two polynomials. B. Let f(x) = gx) is a rational function. If the degree of the numerator is greater than the degree of the denominator there horizontal asymptote is y = 0. C. Let f(x) = g(x) is a rational function. If the degree of the numerator is greater h(x) than the degree of the denominator there is no horizontal asymptote. D. Let f(x) = g(x) h(x) is a rational function. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote will be the ratio of the leading coefficients. 3x²-2 11. What is the horizontal asymptote of the graph of y 5x+3 A. no horizontal asymptote В. у %3D0 C. y = D. y=1 x-2 12. What is the vertical asymptote of the graph of 4x+5 A. x = - В. х — D. x= C. X = For 13-15. TRUE or FALSE 13. Every rational function has vertical asymptote. 14. Rational function is a quotient of two polynomial functions, where the denominator is not equal to zero. x+7 15. = 8 is an example of a rational function x-4
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