Determine algebraically whether the function is even, odd, or neither.f(x) = 5x3 + 4
A. even
B. odd
C. neither
Answer: C
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Find the domain of the function and identify any vertical and horizontal asymptotes.
?
?
A. Domain: all real numbers xVertical asymptote: No vertical asymptoteHorizontal asymptote: y = 5 B. Domain: all real numbers except x = 0Vertical asymptote: x = 0Horizontal asymptote: y = -8 C. Domain: all real numbers xVertical asymptote: x = -5Horizontal asymptote: y = 0 D. Domain: all real numbers except x = 5Vertical asymptote: No vertical asymptoteHorizontal asymptote: No horizontal asymptote E. Domain: all real numbers except x = 9Vertical asymptote: x = 5Horizontal asymptote: y = 8
Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.-18x2 - 15x + 18
A. -3(3x - 2)(2x + 3) B. prime C. -3(3x + 2)(2x - 3) D. (-9x + 6)(2x + 3)
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: 0; y intercept: 0
(ii) Domain: all real numbers except -2
(iii) Vertical asymptote: x = -2; horizontal asymptote: y = -3
(iv)
B. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except 2
(iii) Vertical asymptote: x = 2; horizontal asymptote: y = 3
(iv)
C. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except 2
(iii) Vertical asymptote: x = 2; horizontal asymptote: y = -3
(iv)
D. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except -2
(iii) Vertical asymptote: x = -2; horizontal asymptote: y = 3
(iv)
Use the method of sealed bids to complete the table.Tom and Axel have inherited their father's sailboat and want to decide who should receive it.
A.
B.
C.
D.