Types of Graphs (Leaving Cert Mathematics): Flashcards

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Linear
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General form of linear function

f(x)=mx+bf(x) = mx + b

Meaning of mm in f(x)=mx+bf(x) = mx + b

Slope (steepness) of the line

Meaning of bb in f(x)=mx+bf(x) = mx + b

yy-intercept (where graph crosses yy-axis)

Method: slope from distances

Rise over run

Slope formula using two points

m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}

Definition of rise over run

Vertical distance / horizontal distance

Equation of line formula (point & slope)

y−y1=m(x−x1)y - y_1 = m(x - x_1)

Relationship: yy and f(x)f(x)

Interchangeable; mean the same thing

Positive relationship definition

One variable increases, other increases

Negative relationship definition

One variable increases, other decreases

P(n)=15n+100P(n) = 15n + 100: meaning of 100

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P(n)=15n+100P(n) = 15n + 100: meaning of 15

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