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Identify the functions that have the given property.

The domain is all real numbers for .
An x-intercept is (pi,0) for .
The minimum value is –1 for .
An x-intercept is (pi/2,0) for .

Answers
1, both the sine and cosine function
2, the sin function
3, both the sine and cosine function
4, the cosine function

2 Answers

6 votes

Final answer:

The functions that have the given properties are the sine and cosine functions. The sine function is odd, with x-intercepts at integer multiples of pi and a minimum value of -1 at x=3pi/2. The cosine function is also odd, with x-intercepts at odd multiples of pi/2 and a minimum value of -1 at x=pi.

Step-by-step explanation:

The functions that have the given properties are the sine and cosine functions.

  1. The sine function: The sine function is odd, which means that it satisfies the property of being an odd function. The x-intercepts of the sine function are at integer multiples of pi, and the minimum value is -1 at x=3pi/2.
  2. The cosine function: The cosine function is also an odd function. The x-intercepts of the cosine function are at odd multiples of pi/2, and the minimum value is -1 at x=pi.

Therefore, the functions that satisfy all the given properties are the sine and cosine functions.

User Modeller
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4 votes

Answer:

this is right!

Step-by-step explanation:

i got it right on edge

User Jim Xu
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4.7k points