Search over 10,000 free study notes

To sketch any modulus function, we begin with the sketch of the function itself, y=ln(x). Notice that the question asks for the graph of y=ln(|x|) and not y=|ln(x)|, this is an important distinction.recal...

We can see that (3x + 7)² is a 'composite function'. We can rewrite this as g(f(x)), where f(x) = 3x + 7 and g(x) = x². As you will have learnt, you will need to use the chain rule f...

The way to tackle this particular question requires the need for 2 formula equationsThe sum of all the interior angles of a regular polygon can be worked out by subtracting 2 from the number of sides, and...

By putting the bracket around (11+2-1) you are able to calculate that this then equals 12. This can the be put into the equation 12-(11+2-1)=0 which is 12-(12)=0. This then means that 12-12=0 giving you t...

Firstly, we need to take a factor of 2x out of the equation. This is because both 2x² and 12x can be divided by 2x. This gives us (2x)(x)+(2x)(6). If we then collect the terms 2x, we get 2x(x+6...