Find the vertex, the max/min, the axis of symmetry, directrix, and focus. \( f(x)=\frac{1}{8} x^{2}+\frac{7}{4} x+\frac{25}{8} \) \( p=2 \) Is the vertex the maximum or minimum value of \( f \) ? Minimum Maximum Determine the vertex, in \( (x, y) \) form, of the parabola defined by \( f \). Determine the axis of symmetry of the parabola defined by \( f \).

A 25 -year old woman burns \( 350-70 t \) cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is \( 135 t \) calories during the \( t \) th hour. What is her net decrease in calories after walking for 4 hours?

Consider the number pattern below: \[ \frac{-3}{5} ; \frac{-6}{9} ; \frac{-9}{13} ; \ldots . \ldots \] Determine the next two terms of the number pattern. Determine the \( n^{\text {th }} \) term of the number pattern.

The postal service of a country charges \( \$ 0.36 \) postage for a letter weighing up to 1 ounce, plus \( \$ 0.26 \) for each additional ounce up to 5 ounces. Letters weighing more than 5 ounces do not qualify for these rates. \( C(x)=\left\{\begin{array}{ll}\$ \square & \text { if } 0<x \leq 1 \\ \text { (a) Write a piecewise-defined function } C \text { for the postage charged for a letter weighing } x \text { ounces. } \\ \$ \square & \text { if } 3<x \leq 4 \\ \$ \square & \text { if } 4<x \leq 5\end{array}\right. \)

8. \( -5 \frac{1}{3}-\left(-6 \frac{2}{3}\right) \)

5 State which consecutive whole numbers are either side of: \( \begin{array}{llll}\text { a } \sqrt{29} & \text { b } \sqrt{40} \\ \text { e } \sqrt{85} & \text { f } \sqrt{103} & \text { o } & \sqrt{71}\end{array} \)