Answer:
- x-intercepts: D(π/2, 0) and E(3π/2, 0)
- maxima: A(0, 3) and B(2π, 3)
- minimum: C(π, -3)
Explanation:
You want a plot of the x-intercepts, maxima, and minima of y = 3cos(x) from 0 to 2π.
Plot
A plot of the function y = 3cos(x) is attached. The points of interest are labeled.
The parent cosine function has a y-intercept of (0, 1) and a period of 2π. The function y = 3cos(x) stretches it vertically by a factor of 3, so the maxima on the given interval are (0, 3) and (2π, 3).
The minimum is halfway between, at (π, -3).
The x-intercepts are halfway between the extremes, at (π/2, 0) and (3π/2, 0).
On the attached graph the points of interest are ...
- x-intercepts: D(π/2, 0) and E(3π/2, 0)
- maxima: A(0, 3) and B(2π, 3)
- minimum: C(π, -3)
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