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Leokris [45]
2 years ago
9

Give the domain, range, intercepts, asymptotes, intervals of increasing and decreasing, intervals of positive and negative, symm

etry and extrema (if any) for the graph of this equation.
3/x^2-4 + 1
Mathematics
1 answer:
klemol [59]2 years ago
3 0
y = \frac{3}{x^{2} - 4} + 1

Domain: x² - 4 ≠ 0
                 + 4 + 4
                    x² ≠ 4
                 √x² ≠ √4
                    x ≠ ±2
           x ≠ -2 and x ≠ 2
     (-∞, -2) ∨ (-2, 2) ∨ (2, ∞)

Range: y ≠ 1
    (-∞, 1) ∨ (1, ∞)

Intervals: Increasing: (0.25 , ∞)
              Decreasing: (-∞, 0.25)

Symmetry: X-axis: Not Symmetric
                  Y-axis: Not Symmetric
                  Origin: Not Symmteric

Extrema: Maximum Relative: x = 0
                Minimum Relative: Nothing
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9514 1404 393

Answer:

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Step-by-step explanation:

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<h3>f(x)</h3>

f(x) = x² -2x -8 = (x -4)(x +2) = (x -1)² -9

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<h3>g(x)</h3>

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_____

<em>Additional comment</em>

We have only listed the intercepts, axis, and extreme where the values match a label.

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7 0
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