### Home > APCALC > Chapter 4 > Lesson 4.5.1 > Problem4-178

4-178.

Using your graphing calculator, determine all relative maxima and minima points of inflection, and discontinuities of the curve $y = \frac { \operatorname { sin } ( x ) } { x }$ between $–2π ≤ x ≤ 2π$.

Careful!
Recall that a maximum (and a minimum) is defined as a $y$-value, and that $y$-value must exist.
What does that mean about the maximum of

$y=\frac{\text{sin}x}{x}?$

To find the minimum values and the point of inflection, you will need to examine $f ^\prime\left(x\right)$ and $f^{\prime \prime}\left(x\right),$ and then find their respective zeros. Remember that we are only considering the the domain $−2π ≤ x ≤ 2π.$

Use the eTool below to solve the problem.
Click the link at right for the full version of the eTool: Calc 4-178 HW eTool