Chapter 6: Q. 36 (page 419)

Use the graph of the function to determine the domain and the range of function
$y = c s c (\frac{3 π}{2} x)$

Short Answer

Expert verified

The graph of the equation

The domain is ${x | x \neq \pm \frac{2 k}{3}}$

The range is $(- \infty, - 1} \cup {1, \infty)$

Step by step solution

Step 1. The given information is

a function $y = c s c (\frac{3 π}{2} x)$

Step 2. The graph of the parent equation is

Step 3. The graph of the equation we get is

Step 4. Domain and range is

The graph of function state that the

The domain of the function is

the domain is ${x | x \neq \pm \frac{2 k}{3}}$

The range is $(- \infty, - 1] \cup [1, \infty)$

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Use the graph of the function to determine the domain and the range of function
$y = c s c (\frac{3 π}{2} x)$

Short Answer

Step by step solution

Step 1. The given information is

Step 2. The graph of the parent equation is

Step 3. The graph of the equation we get is

Step 4. Domain and range is

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Use the graph of the function to determine the domain and the range of functiony=csc(3π2x)

Short Answer

Step by step solution

Step 1. The given information is

Step 2. The graph of the parent equation is

Step 3. The graph of the equation we get is

Step 4. Domain and range is

One App. One Place for Learning.

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Use the graph of the function to determine the domain and the range of function
$y = c s c (\frac{3 π}{2} x)$