Graphical Representation of the Slope Function (Leaving Cert Mathematics): Flashcards

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Graphical Representation of the Slope Function
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What does the slope function show?

Steepness/gradient at every point on curve

Another name for slope function

Derivative function

Notation for slope function

dydx\frac{dy}{dx} or f′(x)f'(x)

Slope sign when function increases

Positive

Slope sign when function decreases

Negative

Slope value at turning points

Zero

Slope function type for linear functions

Constant

Slope function for y=mx+cy = mx + c

y=my = m

Slope function of y=3x+2y = 3x + 2

dydx=3\frac{dy}{dx} = 3

Slope function type for quadratic functions

Linear (straight line)

Slope function type for cubic functions

Quadratic (parabola)

On original function, slope function = 0 shows what?

Turning points of original function

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