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4. Sketching Curves
1. Sketching graphs of cubic functions
2. Interpreting graphs of cubic functions
3. Sketching the reciprocal function
4. Using the intersection points of graphs of
functions to solve equations
5. The effect of the transformations f(x + a) and
f(x ­ a)
6. The effect of the transformations f(ax) and af
(x)
7. Performing transformations on the sketches
of curves To review a topic click on the hyperlinks above.
To return at any time click on the icon…read more

Slide 3

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4. Sketching Curves
1
Sketching graphs of cubic
functions…read more

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Graph Sketching
Reminder:
For QUADRATIC graphs it was necessary to determine...
orientation (which way up)
y-intercept (where x = 0)
x-intercepts (called roots and where y = 0)
turning points (known as maxima and minima)
The same is true for CUBIC graphs…read more

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Cubic functions can be written as :
y = ax³ + bx² + cx + d
Alternatively, if they can be (fully) factorised they will be :
y = (x - )(x - )(x - )
where , and are the roots of the function.
if x³ is positive if x³ is negative…read more

Slide 6

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Sketch y = (x + 2)(x - 1)(x - 6)
positive x³
when x = 0, y =
when y = 0, x = y
x…read more

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