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

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Graphical Representation of the Slope Function
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What does the slope function tell us about a curve?

The steepness at every point

What is another name for the slope function?

Derivative function

When a function is increasing, what is true about its slope?

The slope is positive

What is the slope at a turning point?

Zero

What type of slope function does a linear function have?

Constant

What is the slope function of y=3x+2y = 3x + 2?

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

What type of slope function does a quadratic function produce?

Linear

What type of slope function does a cubic function create?

Quadratic

When is the slope function negative?

When the function is decreasing

For y=x2−2x−3y = x^2 - 2x - 3 with slope y=2x−2y = 2x - 2, where is the turning point?

x=1x = 1

For a linear function y=mx+cy = mx + c, what is the slope function?

y=my = m

Before a quadratic's turning point, what is true about the function if it opens upward?

Slope negative, function decreasing

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