Combination of Graphs (Junior Cert Mathematics): Flashcards

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Combination of Graphs
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Meaning of function intersection

Functions have same value at certain points

Graphical meaning of intersection

Where two graphs cross each other

Name for U-shaped curve

Parabola

Truth about yy-values at intersection

Same output for same input (xx-value)

How to find f(x)=g(x)f(x) = g(x) graphically

Look for points where graphs cross

Graphical meaning of f(x)<g(x)f(x) < g(x)

f(x)f(x) graph is below g(x)g(x) graph

When f(x)f(x) graph is below g(x)g(x)

Outputs of f(x)f(x) are smaller than g(x)g(x)

Solution format for f(x)<g(x)f(x) < g(x)

Range of xx-values between intersection points

Benefit of graphs for comparing functions

Visual representation makes relationships clear

Why graphs help spot intersections

Can quickly spot where graphs cross or overlap

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