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We first rearrange the inequality to obtain

4x²-5x+1>0

Initially ...

To plot any graph, you need to find out where the curve cuts the x and y-axis, and where it's stationary points are, aswell as what type of stationary point you have.

Here are the steps:

a) The first part of this question is asking us to find points, (x,y), such that    x = -8. By taking the equation and substituting in x = -8, we should find values, y, such that the points given are (-8,...

To find the roots, we solve the equation 3x² + 13x + 4 = 0.

We could try factorising the equation, which gives...

This is an example of a rational function. So to sketch it, we need to know three things: 1) where it crosses the x and y axis 2) Where its turning points are, if it has any 3) Where its asymptotes are, i...