Tucker Brooks
08/11/2024 · Primary School
2) Halle el dominio y el rango y también grafique la función y diga en que puntos es creciente o decreciente la función. a. \( f(x)=2 x+2 \) b. \( f(x)=\frac{x+8}{2} \) c. \( f(x)=-2 x^{2}+4 \) d. \( f(x)=x^{3}-2 x^{2}-6 \)
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a. \( f(x) = 2x + 2 \): Dominio y rango: \((-∞, ∞)\), creciente en todo el dominio.
b. \( f(x) = \frac{x + 8}{2} \): Dominio y rango: \((-∞, ∞)\), creciente en todo el dominio.
c. \( f(x) = -2x^2 + 4 \): Dominio: \((-∞, ∞)\), rango: \((-∞, 4]\), creciente en \((-∞, 0)\), decreciente en \((0, ∞)\).
d. \( f(x) = x^3 - 2x^2 - 6 \): Dominio: \((-∞, ∞)\), rango: \((-∞, ∞)\), creciente en \((-∞, 0)\) y \((\frac{4}{3}, ∞)\), decreciente en \((0, \frac{4}{3})\).
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