Chapter 6: Q. 37 (page 419)

Use the graph of the function to determine the domain and the range of function
$y = \frac{1}{2} \tan (\frac{1}{4} x) - 2$

Short Answer

Expert verified

graph of the given function is

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

the range is $(- \infty, \infty)$

Step by step solution

Step 1. The given information is

a function $f (x) = \frac{1}{2} \tan (\frac{1}{4} x) - 2$

Step 2. Making the parent graph we get,

$y = \tan x$

Step 3. Making the graph of the given function we get,

y = \frac{1}{2} \tan (\frac{1}{4} x) - 2

Step 4. Domain and range is

The graph of function state that the

The domain of the function is

the domain is ${x | x \neq \pm 2 k π}$ , kis an odd integer

the range is $(- \infty, \infty)$

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Use the graph of the function to determine the domain and the range of function
$y = \frac{1}{2} \tan (\frac{1}{4} x) - 2$

Short Answer

Step by step solution

Step 1. The given information is

Step 2. Making the parent graph we get,

Step 3. Making the graph of the given function we get,

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=12tan14x-2

Short Answer

Step by step solution

Step 1. The given information is

Step 2. Making the parent graph we get,

Step 3. Making the graph of the given function we get,

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
$y = \frac{1}{2} \tan (\frac{1}{4} x) - 2$