# Calculator scavenger hunt

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

1. Does the calculator preserve order of operations? Give your test input and result. Was the result mathematically correct?
2. 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:

1. Adjust the contrast of the screen.
2. Find the maximum value of $$y = x^3 + 3x^2 - 2$$ on the interval $$[-4, -1]$$ two different ways without tracing.
3. Find the roots of $$y = x^3 + 3x^2 - 2$$.
4. Graph $$y_1 = x^2$$ with a dotted line and $$y_2 = x^2 - 5$$ with a continuous line.
5. "Turn off" $$y_2$$, but still keep it in memory.
6. Turn on Plot 1: StatsPlot → Enter → Enter. Now graph $$y_1$$.
7. Find the greatest common factor and least common multiple of 2136 and 4872.
8. Multiply $$(4+3i)(2-5i)$$, where $$i=\sqrt{-1}$$.
9. Find the real part of $$\dfrac{1}{2 + 3i},$$ expressed in fractional form. Give the calculator commands used.
10. Find the slope of the tangent line of $$y = x^3 + 3x^2 - 2$$ at $$x=2$$, two different ways.
11. Graph the following piecewise function, $$f(x) = \begin{cases} x^2, & x \le 0 \\ -x, & x > 0 \end{cases}$$.
12. Create a program called HW that displays "Hello World!". (see Instructables for help)
13. 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.