# Calculator scavenger hunt

Before using any calculator, I think there are basic aspects to be aware of:

- Does the calculator preserve order of operations? Give your test input and result. Was the result mathematically correct?
- How does the calculator handle division by zero?
- Fractions (e.g., \( \frac{2}{0} \), \( 0^0 \))
- Graph a curve with a removable discontinuity (i.e., a "hole"). Give the equation of the curve tested.
- Graph a vertical asymptote. Give the equation of the curve tested.

(How to turn v.a. on/off.)

## Scavenger hunt

Describe how use your calculator to do the following:

- Adjust the contrast of the screen.
- Find the maximum value of \( y = x^3 + 3x^2 - 2 \) on the interval \( [-4, -1] \) two different ways without tracing.
- Find the roots of \( y = x^3 + 3x^2 - 2 \).
- Graph \( y_1 = x^2 \) with a dotted line and \( y_2 = x^2 - 5 \) with a continuous line.
- "Turn off" \( y_2 \), but still keep it in memory.
- Turn on Plot 1: StatsPlot → Enter → Enter. Now graph \( y_1 \).
- Find the greatest common factor and least common multiple of 2136 and 4872.
- Multiply \( (4+3i)(2-5i) \), where \( i=\sqrt{-1} \).
- Find the real part of \( \dfrac{1}{2 + 3i}, \) expressed in fractional form. Give the calculator commands used.
- Find the slope of the tangent line of \( y = x^3 + 3x^2 - 2 \) at \( x=2 \), two different ways.
- Graph the following piecewise function, \( f(x) = \begin{cases}
x^2, & x \le 0 \\
-x, & x > 0
\end{cases} \).
- Create a program called
**HW** that displays "Hello World!". (see Instructables for help)
- Find something on the calculator that looks interesting that you do NOT know what it does.

## Make these designs

Provide the equations needed to make these designs.