determine the period of the following tangent graph. if necessary, write your answer as a fraction in…
determine the period of the following tangent graph. if necessary, write your answer as a fraction in simplified form. answer attempt 1 out of 2 submit answer
Answer
Explanation:
Step1: Recall period - definition
The period of a tangent function (y = A\tan(Bx - C)+D) is given by (\frac{\pi}{|B|}). For a tangent - graph, the period is the horizontal distance between two consecutive vertical asymptotes.
Step2: Identify asymptotes
From the graph, the vertical asymptotes are at (x =-\frac{3}{2}) and (x=\frac{1}{2}).
Step3: Calculate the period
The period (P=\frac{1}{2}-\left(-\frac{3}{2}\right)). [ \begin{align*} P&=\frac{1 + 3}{2}\ &=2 \end{align*} ]
Answer:
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