ACT Math : How to find the range of the tangent

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #1 : How To Find The Range Of The Tangent

Find the range of: 

Possible Answers:

Correct answer:

Explanation:

The function  is related to .  The range of the tangent function is .

The range of  is unaffected by the amplitude and the y-intercept.  Therefore, the answer is .

Example Question #2 : How To Find The Range Of The Tangent

What is the range of the trigonometric fuction defined by:
?

Possible Answers:

Correct answer:

Explanation:

For tangent and cotangent functions, the range is always all real numbers. 

Example Question #3 : How To Find The Range Of The Tangent

What is the range of the given trigonometric function:

Possible Answers:

Correct answer:

Explanation:

The range of a function is every value that the funciton's results take. For tangent and cotangent, the function spans from  and so the range is:

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