Interpreting Graphs (Junior Cert Mathematics): Flashcards

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Interpreting Graphs
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Roots of an equation on a graph

Points where graph crosses the xx-axis

What f(x)=0f(x) = 0 represents

Points where graph crosses xx-axis (roots)

How to solve f(x)=kf(x) = k graphically

Draw horizontal line at y=ky = k, find intersections

When is a function negative

When graph is below the xx-axis (y<0y < 0)

Maximum value of a graph

The highest point on the graph

Minimum value of a graph

The lowest point on the graph

Turning points (quadratics)

Points where graph changes direction

How to find f(k)f(k) from a graph

Locate x=kx = k, read corresponding yy-value

When is a function increasing

When graph goes up from left to right

When is a function decreasing

When graph goes down from left to right

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