For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x).f(x) = 

A. (i) x intercept: 3; y intercept: 
(ii) Domain: all real numbers except 4
(iii) Vertical asymptote: x = 4; horizontal asymptote: y = 1
(iv)

B. (i) x intercept: -3; y intercept: 
(ii) Domain: all real numbers except -4
(iii) Vertical asymptote: x = -4; horizontal asymptote: y = 1
(iv)

C. (i) x intercept: -5; y intercept: 
(ii) Domain: all real numbers except -4
(iii) Vertical asymptote: x = -4; horizontal asymptote: y = 1
(iv)

D. (i) x intercept: 5; y intercept: 
(ii) Domain: all real numbers except 4
(iii) Vertical asymptote: x = 4; horizontal asymptote: y = 1
(iv)


Answer: A

Mathematics

You might also like to view...

Graph the curve described by the function. Use analysis to anticipate the shape of the curve before using a graphing utility.r(t) = cos 2t sin t i + sin 2t sin t j +  k, for 0 ? t ? 16

A.

B.

C.

D.

Mathematics

Determine whether or not the equation is quadratic.(x + 2)2 = (2x + 5)2

A. Not quadratic. B. Quadratic.

Mathematics

Solve the system by graphing. 4x + y = 1016x + 4y = 40

A. (0, 10) B. Infinitely many solutions C. No solution D. (5, -10)

Mathematics

Solve the problem.Write 490 out of 500 college students as a decimal and as a percent.

A. 9.8, 980% B. 0.98, 980% C. 0.98, 9.8% D. 0.98, 98%

Mathematics