Decide whether the relation defined by the graph to the right defines a function, and give the dome and range. Does the graphed relation define a function? What is the domain of the graphed relation? (Type your answer in interval notation.) What is the range of the graphed relation? (Type your answer in interval notation.) No

3. Given the list of terms \( \frac{1}{3}, 1, \frac{5}{3}, \frac{7}{3}, \ldots \) a) Find the \( 15^{\text {th }} \) and \( -16^{\text {th }} \) term.

2) Intensidad de luz: un material traslúcido tiene la propiedad de reducir la intensidad de la luz que pasa a través de él. Un material traslucido de plástico tiene la propiedad de que una hoja de 1 mm de espesor reduce la intensidad de la luz en un \( 10 \% \). ¿Cuantas de tales hojas son necesarias para reducir la intensidad de un rayo de luz a cerca del \( 28 \% \) de su valor original?

Cabinet \( X \) costs \( \$ 30 \), requires 12 sq ft of floor space, and holds 36 cu ft of files. Cabinet \( Y \) costs \( \$ 50 \), requires 6 sq ft of floor space, and holds 30 cu ft . To get maximum storage, how many of each should be purchased with a budget limit of \( \$ 450 \) and floor space of 96 sq ft ? The manager should buy \( \square \) of cabinet \( X \) and \( \square \) of cabinet \( Y \). (If two possibilities provide maximum storage, use the option that involves buying at least one of cabinet \( X \) and at least one of cabinet \( ~ \) .)

7) Simplify the logarithm so that no argument contains a product, quotient or a powe \( \ln \left(e x^{3}\right)= \) a) \( 1-3 \ln x \) b) \( 01+3 \ln x \) c) \( 03-\ln x \) d) \( 3+\ln x \)

Find the value of the determinant. \[ \left|\begin{array}{rrr}9 & 6 & 10 \\ -1 & -1 & 7 \\ -4 & -2 & 1\end{array}\right| \] The determinant value is