CPI 200
Quiz 3 / self graded

1.  Let 
	f(x) = sin(x) + (Sqrt[x]).
Sketch f and f ’ over [0,3].

f[x_]:=Sin[x] +Sqrt[x];

Plot[{f[x],f'[x]},{x,0,3}]

2. The shown three functions are,  f, f ’, and f ’’ for aome f. Which is which?
Annotate.
Blue: f
Red: f ‘
Gold: f ‘’

3. What is an even function?

A function whose graph is ymmetric to the y - axis

4. Which of the following functions is bounded? Explain.

No. 1

Sin[1/x],  Cos[x]/Sin[x],    x^3/Sqrt[x],  Log[x]

5. Let f(x) = (x^2)-2. Sketch -f for -2 ≤ x ≤ 2.

f[x_]:= -(x^2-2);
Plot[f[x],{x,-2,2}]

6. Who invented Calculus?

Newton or Leibniz   (I’ll take either one)