7.) f(x) = |x-8| has A.) a relative minimum at x = 0 B.) a relative maximum at x

Question

7.) f(x) = |x-8| has
A.) a relative minimum at x = 0
B.) a relative maximum at x = 0
C.) a relative maximum at x = 8
D.) a relative minimum at x = 8
E.) a relative minimum at x = -8

8.) On a [-10, 10] by [-10, 10] window on a graphing utility the rational function f (x) = (x^3 + 3) / (x^3 - 2) has
A.) one horizontal asymptote; no vertical asymptote
B.) no horizontal asymptote; one vertical asymptote
C.) one horizontal asymptote; one vertical asymptote
D.) one horizontal asymptote; three vertical asymptotes
E.) one horizontal asymptote; two vertical asymptotes

9.) Use a graphing utitlity to graph f(x) = x^1/7. How many points of inflection does the function have?
A.) 0
B.) 1
C.) 2
D.) 3
E.) 4

10.) Use a graphing utility to graph f(x) = x^-1/3. How many points of inflection does the function have?
A.) 0
B.) 1
C.) 2
D.) 3
E.) 4

11.) Use a graphing utility to generate the graph of f(x) = x^4 - 14x^3 + 29x^2 - 36x + 7, then determine the x-coordinates of all relative extrema on (-10, 10) and identify them as relative maxima or relative minima.
A.) There is a relative maximum at x = 9
B.) There is a relative minimum at x = 0
C.) There is a relative maximum at x = 0
D.) There is a relative minimum at x = 9
E.) There are no relative extrema

Explanation / Answer

7)D.) a relative minimum at x = 8

8) C.) one horizontal asymptote; one vertical asymptote

9) B.) 1 (at x=0)

10) C.) 2

11)E.) There are no relative extrema

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