Answer: we should have that:
Step-by-step explanation:
We know that f(x) is an odd function, this means that f(-x) = -f(x)
We know that:
this means that wen we aproximate to zero for the right (the positive side) we have that the value is.
First, this tell us that f(x) can not be a continue function, because of the fact that is odd we will have that when we aproximate the same lim but from the negative side, we will have that:
Answer:
<em>Answer: C</em>
Step-by-step explanation:
<u>The Cosine Function</u>
The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:
Both the amplitude A and the angular frequency w of a cosine can be modeled by the function
The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:
Thus:
Therefore, the equation of the sinusoid is:
Answer: C