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Answer:
a. no discontinuities
b. (0, 3)
c. none
d. f(x) → +∞ for |x| → ∞
Step-by-step explanation:
The function written in this problem statement is ...
[tex]f(x)=3+\dfrac{8}{x^{-2}}=8x^2+3\qquad\text{a quadratic function}[/tex]
a) Polynomial functions of any degree have no discontinuities.
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b) f(0) = 3. The y-intercept is (0, 3).
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c) x² is always positive, so there are no x-intercepts
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d) The leading coefficient of this even-degree polynomial is positive, so f(x) tends toward +∞ as |x| tends toward ∞.
