Question

I have a question which stubs my toe could someone solve this for me so I understand how to get the domain and range.

Let f be a function defined on [−1,3] such that f (n) = 2n - 1

- Plot the graph of f
- What is this function’s domain and range?

Answer 1

Explanation:

Domain tells us all the possible x values or inputs of a function.

Here the input is n.

The domain here is defined on the interval [-1,3) so the domain can be notated in 3 ways.

Interval Notation: [-1,3]

Words: All inputs that is between -1 and 3, exclusively.

Sign Notation:

`- 1 \leqslant x \leqslant 3`

The Range of a function is possible y values or outputs of a function.

For the range, plug in x values to find the y values.

Since the range in this problem, is only defined for -1 to 3. Plug in -1 for n in the function.

`2( - 1) - 1 = - 3`

`2(3) - 1 = 5`

So the range of is

[-3,5]

Or could be stated

All outputs between -3 and 5 exclusively

`- 3 \leqslant x \leqslant 5`

Here's a graph. Look Above