Determine algebraically whether the function is even, odd, or neither.f(x) = 5x3 + 4

A. even
B. odd
C. neither


Answer: C

Mathematics

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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

Mathematics

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)

Mathematics

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)

Mathematics

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.

Mathematics