Find the Range y=tan(2x)
Problem
Solution
Identify the parent function. The given function is a transformation of the basic trigonometric function
y=tan(θ) Determine the range of the parent function. The range of the standard tangent function
ƒ(θ)=tan(θ) is the set of all real numbers,(−∞,∞) Analyze the effect of the coefficient inside the function. The factor of
2 in2*x affects the period of the function, compressing it horizontally. However, horizontal transformations do not change the set of output values (the range).Conclude the range. Since there are no vertical shifts or vertical stretches/compressions, the output values continue to span from negative infinity to positive infinity.
Final Answer
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