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For this I would use the whiteboard to draw an even function (i.e cos(x)) and show that if f(x) is even then f(x) = f(-x). I would also show that the function would be symmetrical about the y axis. For an...

• A function, f(x), is something that takes various input values of x, and for each one, generates an output value, e.g. if f(x) = x² then when x=3, f(x) = f(3) = (3)² = 9, which...

Work out the lengths of each side; do so by adding the ratio components together (3+4+5).The components add to 12; we can now find the value of a single unit of the ratio, by dividing 72 by 12.72/12 is 6;...

The stationary point on the curve is the point on the curve where the gradient is 0. In other words the tangent to the curve at that point is horizontal. The gradient of the curve can be expressed as dy/d...

Route 1 (Standard): 1. 3x + y = -4 / 2. 3x - 4y = 6 / MINUS 2 FROM 1 / y - (-4y) = 5y / -4 - 6 = - 10 / 5y = - 10 / y = -2 /PUT y-VALUE BACK INTO ORIGINAL EQ  / 3x - 2 = -4 / 3x = ...