Question

График функции y=| cosx |

Answer 1

Вот решено прикрепил..............

Answer 2

To plot the graph of the function y = |cos(x)|, we need to consider both the positive and negative values of the absolute value of the cosine function.

The cosine function, cos(x), oscillates between -1 and 1. The absolute value function, |x|, simply takes the magnitude of any value x and makes it positive. So, the function y = |cos(x)| will always be positive or zero, as it will remove the negative sign from the cosine values.

Let's plot the graph for a range of x-values to see how it looks:

We'll start by plotting the graph from x = -2π to 2π (approximately -6.28 to 6.28).

Here's the graph:

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   ^
   |                ___
1.0|_________      /   \
   |         \    /     \
   |           \/       \
0.5|                    \________
   |
   |_______________________________> x

In this graph, the function y = |cos(x)| looks like a series of V-shaped peaks with a minimum value of 0 at each peak. The peaks occur when the cosine function is equal to 0 (i.e., at odd multiples of π/2), and the absolute value ensures that the function remains positive or zero throughout.

It's worth noting that the amplitude of the peaks is always 1 (the absolute value of the maximum value of cosine). Therefore, the graph oscillates between 0 and 1.