<p>I don’t think that there are any classes of functions where you can ex ante say that it is elastic or inelastic, since this will depend on the function parameters.</p>

<p>However, there is a class of functions for which you can say the elasticity is always constant, these are isoelastic functions.</p>

<p>For example, consider function:</p>

<p><span class="math-container">$$Q(p)=ap^b$$</span></p>

<p>By definition elasticity for this function is:</p>

<p><span class="math-container">$$\frac{Q’(p)p}{Q(p)}=b$$</span></p>

<p>Now this kind of function will be always elastic (<span class="math-container">$b$</span>>1), inelastic (<span class="math-container">$b$</span>&lt;1) or unit elastic (<span class="math-container">$b$</span>=1) depending on the actual value of the parameter <span class="math-container">$b$</span></p>

CC BY-SA 4.0
2019-11-23T23:33:24.503Z
Yes , but this type of functions haven't the properties of a demand function . If there isn't a class , which can be a good unique example of such a function?
Tortar
CC BY-SA 4.0
2019-11-23T23:34:52.440Z
My problem is that in a problem is required to graph a elastic function , but  I don't know how to do it
Tortar
CC BY-SA 4.0
2019-11-23T23:49:00.307Z
@Tortar the function I showed was just an example. You can definitely have isoelastic demand function. Heck my example could be demand function for Giffen good and with just adding a minus sign it could be standard demand function. Also if you wanted graph you should asked for that in question, regardless just google isoelastic demand and you will get a graph with demand function with constant elasticity
1muflon1
CC BY-SA 4.0
2019-11-23T21:48:11.247Z
2019-11-23T21:48:11.247Z
1muflon1
<p>Which class of functions have the property of being always elastic?and instead always inelastic?</p>

<microeconomics><elasticity>
which is an example of demand curve that is always inelastic/elastic?
Tortar
# which is an example of demand curve that is always inelastic/elastic?

(Asked by: username_0 on 2019-11-23)

Which class of functions have the property of being always elastic?and instead always inelastic?

**Tags:** microeconomics, elasticity

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## 1 answers

### Answer by username_1 on 2019-11-23. Score: 1 | Accepted answer

I don’t think that there are any classes of functions where you can ex ante say that it is elastic or inelastic, since this will depend on the function parameters.

However, there is a class of functions for which you can say the elasticity is always constant, these are isoelastic functions.

For example, consider function:

$$Q(p)=ap^b$$

By definition elasticity for this function is:

$$\frac{Q’(p)p}{Q(p)}=b$$

Now this kind of function will be always elastic ($b$>1), inelastic ($b$<1) or unit elastic ($b$=1) depending on the actual value of the parameter $b$

> **Comments:**
> **username_0**: Yes , but this type of functions haven't the properties of a demand function . If there isn't a class , which can be a good unique example of such a function?  
> **username_0**: My problem is that in a problem is required to graph a elastic function , but  I don't know how to do it  
> **username_1**: @Tortar the function I showed was just an example. You can definitely have isoelastic demand function. Heck my example could be demand function for Giffen good and with just adding a minus sign it could be standard demand function. Also if you wanted graph you should asked for that in question, regardless just google isoelastic demand and you will get a graph with demand function with constant elasticity  

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