Question \( 1-1 \) Paige is filling a 3.5 gallon bucket at a rate of 0.25 gallons per minute. If the bucket was empty when Paige arrived, what is the domain of the function that represents the volume of water in the bucket after \( x \) minutes? \( \begin{array}{l}0 \leq x \leq 0.875 \\ 0 \leq x \leq 3.5 \\ 0 \leq x \leq 7 \\ 0 \leq x \leq 14 \\ 0\end{array} \)

4) Dado el dominio de cada función, determina el recorrido. \( \begin{array}{ll}\text { a. } f(x)=20 x \text { y } \operatorname{Dom}(f)=\{0,1,2,3\} & \text { b. } g(x)=-5 x \text { y } \operatorname{Dom}(g)=\{0,3,6,9\} \\ \text { c. } h(x)=x-3 \text { y } \operatorname{Dom}(h)=\{-2,-1,0,1\} & \text { d. } j(x)=3 x+4 \text { y } \operatorname{Dom}(j)=\{0,5,10,15\}\end{array} \)

b. Two consecufive number are sucl that the sum of thrice the smaller and twice the larger is 17. Find, correct to three significant figures the smaller number as a percen - tage of the sum of the. two numbers.

5) Sea una función lineal cuya gráfica pasa por los puntos \( (6,3) \) y \( (-2,-1) \). a) Determine la función b) ¿Cuál es el valor de \( f(-3) \) y de \( f(8) \) ? c) ¿Es creciente o decreciente?

A. \( 4 x^{2} y\left(x z^{2}+5 w x y+3\right) \).

Solve the equation by factoring. \[ x^{2}=7 x-12 \]