# Numbers | Maths with Lemon

Source: https://mathswithlemon.io/aa-functions-domain-range.html


## Domain-Range

" 'Obvious' is the most dangerous word in mathematics " Eric Temple Bell


#### Functions – Domain Range


##### What you have to know:

- You must be able to solve linear equations. (If not, check this lesson)
- You must be able to rearrange formulae. (If not, check this lesson)

##### Key Points

- 1. Watch the video:
- 4. Check out this presentation

#### Domain of a function


##### What you have to know:

- You must be able to manipulate algebraic equations.

##### Key Points

- 1. Watch the video:
- 4. Check out this presentation

#### Extra


##### Material and references:

- Hodder Book SL(ISBN: 9781510462359) : 3A, 3B

##### Key Points

- 1. You should know how to find the domain and range of a function. The domain is the set of all allowed input values, and the range is the set of all possible outputs.
- 2. You should understand that an inverse function reverses the effect of the original function. The graph of \( y = f^{-1}(x) \) is a reflection of the graph of \( y = f(x) \) in the line \( y = x \).
- 3. You should be able to use your GDC to sketch the shape of graphs, find key features such as axis intercepts, vertices and asymptotes, find intersections of graphs, and solve equations.

### IB Past Paper Problems

Select a topic and unit, then click the button below to get a new problem.

Press the button to start!

How was this problem?