123 A função \( h \), de domínio \( \mathbb{R} \), define-se pela seguinte expressão analítica: \[ h(x)=-1+\sin \left(x-\frac{\pi}{3}\right) \] 123.1 Indica o domínio e indica o contradomínio da função \( h \).

\( y = \frac { x } { \log ( [ x ] + 1 ) } \quad \operatorname { Domain } ( y ) = ? \)

\( y=\sqrt{\log (x+1)} \quad \operatorname{Domain}(y)= \) ?

رسم منحنى للدالة الأسية \( g(x) = 4^x \). ماذا يحدث للمنحنى عندما نقوم بزيادة قيم \( x \)؟

untos) (Curvas de aprendizaje) Una compania produce celulares en su linea de ensambla- do. Se sabe que los primeros 100 celulares se construseron en un total de 150 horas, ademas se concluvo que la curva de aprendizaje pata dada por la función que se entre ga a continuacion. ¿Cuantas horas se requeriran con el fin de ensamblar tso celulares adicionales? \[ f(x)=100 x^{-0,05} \]

The fox population in a certain region has an annual growth rate of 6 percent per year. It is estimated that the population in the year 2000 was 23200 . (a) Find a function that models the population \( t \) years after \( 2000(t=0 \) for 2000). Your answer is \( P(t)=23200 \cdot(1.06)^{t} \) (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer should be an integer)