Solving problems with decimal points
1 answer:
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The asymptotes are where the graph is undefined. Since: tan(x) =sin(x)/cos(x)
It is where cos(4x-π) = 0
cos(4x-π) = 0 when the inside is -π/2 , π/2 , 3π/2
4x - π = π/2
4x = π/2 + π
4x = 3π/2
x = 3π/8
4x - π = 3π/2
4x = 3π/2 + π
4x = 5π/2
x = 5π/8
This ones outside the interval (5π/8 > π/2) , try -π/2
4x - π = -π/2
4x = -π/2 + π
4x = π/2
x = π/8
Asymptotes are π/8 and 3π/8
The domain and range of the function is D) Domain: (-∞, ∞); Range: (-∞, ∞)
<h3>How to illustrate the information?</h3>The domain is the input values, or the x values. We can put in any x values for this function.
Domain : (-∞, ∞)
The range is the output values or the y values. We can get any output values for this function
Range: (-∞, ∞)
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<u>Complete question:</u>
What are the domain and range of the function below?
A) Domain: (-∞, -5)
Range: (5, ∞)
B) Domain: (-5, -10)
Range: (5, 10)
C). Domain: (-5, 10)
Range: (-10, 5)
D) Domain: (-∞, ∞)
Range: (-∞, ∞)
