SOLUTION: Sketch two periods of the graph for the following function.
j(x)=tan(pi/4•x)
Identify the stretching factor and period.
Identify the asymptotes in the displayed domain of the
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-> SOLUTION: Sketch two periods of the graph for the following function.
j(x)=tan(pi/4•x)
Identify the stretching factor and period.
Identify the asymptotes in the displayed domain of the
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Question 1203778: Sketch two periods of the graph for the following function.
j(x)=tan(pi/4•x)
Identify the stretching factor and period.
Identify the asymptotes in the displayed domain of the graph you selected above. (Enter your answers as a comma-separated list of equations.) Found 2 solutions by MathLover1, math_tutor2020:Answer by MathLover1(20850) (Show Source):
use the form to find the amplitude, period, phase shift, and vertical shift
in your case, a general equation is
We can identify horizontal and vertical stretches and compressions using values of and . The horizontal stretch can typically be determined from the period of the graph. With tangent graphs, it is often necessary to determine a vertical stretch using a point on the graph.
Because there are maximum or minimum values of a tangent function, the term amplitude cannot be interpreted as it is for the sine and cosine functions. Instead, we will use the phrase factor when referring to the constant .
The stretching factor is
The period is
.
The asymptotes occur at where is an integer.
stretching/compressing factor:
period:
phase shift:
vertical shift:
horizontal asymptotes:
vertical asymptotes:
in two periods, you have asymptotes:
oblique asymptotes:
(