Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the given integers.f(x) = 9x5 + 6x3 - 4x2 + 1; between -1 and 0
A. f(-1) = 18 and f(0) = -1; yes
B. f(-1) = 18 and f(0) = 1; no
C. f(-1) = -18 and f(0) = -1; no
D. f(-1) = -18 and f(0) = 1; yes
Answer: D
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Prove that the equation is an identity. =
What will be an ideal response?
Sketch the graph and show all relative extrema and inflection points.y = x4 - 2x2 + 3
A.
Relative maximum: (0, 3)
Relative minima: (-1, 2), (1, 2)
Inflection points: ,
B.
Relative maximum: (0, 3)
Relative minima: (-1, 2), (1, 2)
Inflection points: ,
C.
Relative minimum: (0, -3)
Relative maxima: (-1, -2), (1, -2)
Inflection points: ,
D.
Relative maximum: (0, 3)
Relative minimum:
Inflection point:
If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.f(x) =
A. Degree: 8; leading coefficient: 4 B. Degree: 2; leading coefficient: 4 C. Degree: 4; leading coefficient: 2 D. Not a polynomial function
Find the missing value and write a conclusion.14% of what number is 567?
A. 14% of 4050 is 567. B. 14% of 40,500 is 567. C. 14% of 20 is 567. D. 14% of 0.2 is 567.