Verifica si la siguiente funcion es inyectiva . utilizando el analisis algebraico f(x)=-x3+2
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![\mathrm{Dominio\:de\:}\:-x^3+2\::\quad \begin{bmatrix}\mathrm{Solucion:}\:&\:-\infty \:\ \textless \ x\ \textless \ \infty \\ \:\mathrm{Notacion\:intervalo}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix} \\ \\ \mathrm{Rango\:de\:}-x^3+2:\quad \begin{bmatrix}\mathrm{Solucion:}\:&\:-\infty \:\ \textless \ f\left(x\right)\ \textless \ \infty \\ \:\mathrm{Notacion\:intervalo}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix} \\ \\ \mathrm{X\:intersecta}:\:\left(\sqrt[3]{2},\:0\right),\:\mathrm{Y\:intersecta}:\:\left(0,\:2\right) \\ No \\ Inyectiva](https://tex.z-dn.net/?f=%5Cmathrm%7BDominio%5C%3Ade%5C%3A%7D%5C%3A-x%5E3%2B2%5C%3A%3A%5Cquad+%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolucion%3A%7D%5C%3A%26%5C%3A-%5Cinfty+%5C%3A%5C+%5Ctextless+%5C+x%5C+%5Ctextless+%5C+%5Cinfty+%5C%5C+%5C%3A%5Cmathrm%7BNotacion%5C%3Aintervalo%7D%26%5C%3A%5Cleft%28-%5Cinfty+%5C%3A%2C%5C%3A%5Cinfty+%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D+%5C%5C++%5C%5C+%5Cmathrm%7BRango%5C%3Ade%5C%3A%7D-x%5E3%2B2%3A%5Cquad+%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolucion%3A%7D%5C%3A%26%5C%3A-%5Cinfty+%5C%3A%5C+%5Ctextless+%5C+f%5Cleft%28x%5Cright%29%5C+%5Ctextless+%5C+%5Cinfty+%5C%5C+%5C%3A%5Cmathrm%7BNotacion%5C%3Aintervalo%7D%26%5C%3A%5Cleft%28-%5Cinfty+%5C%3A%2C%5C%3A%5Cinfty+%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D+%5C%5C++%5C%5C+%5Cmathrm%7BX%5C%3Aintersecta%7D%3A%5C%3A%5Cleft%28%5Csqrt%5B3%5D%7B2%7D%2C%5C%3A0%5Cright%29%2C%5C%3A%5Cmathrm%7BY%5C%3Aintersecta%7D%3A%5C%3A%5Cleft%280%2C%5C%3A2%5Cright%29+%5C%5C+++No+%5C%5C+Inyectiva "\mathrm{Dominio\:de\:}\:-x^3+2\::\quad \begin{bmatrix}\mathrm{Solucion:}\:&\:-\infty \:\ \textless \ x\ \textless \ \infty \\ \:\mathrm{Notacion\:intervalo}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix} \\ \\ \mathrm{Rango\:de\:}-x^3+2:\quad \begin{bmatrix}\mathrm{Solucion:}\:&\:-\infty \:\ \textless \ f\left(x\right)\ \textless \ \infty \\ \:\mathrm{Notacion\:intervalo}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix} \\ \\ \mathrm{X\:intersecta}:\:\left(\sqrt[3]{2},\:0\right),\:\mathrm{Y\:intersecta}:\:\left(0,\:2\right) \\ No \\ Inyectiva")
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