Sketching Graphs (Grade 12 NSC Matric Mathematics): Quizzes

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Sketching Graphs
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What shape does a cubic graph have when a>0a > 0?

Rises left to right with S-shaped curve

How do you find the y-intercept of a cubic function?

Substitute x=0x = 0 into the function

How many x-intercepts can a cubic function have?

1, 2, or 3

What condition defines stationary points?

f′(x)=0f'(x) = 0

When is a graph concave up?

When f′′(x)>0f''(x) > 0

What is a point of inflexion?

Where concavity changes

What is the first step in sketching a cubic graph?

Consider the sign of aa

When is f(x)f(x) increasing?

When f′(x)>0f'(x) > 0

What do turning points of f(x)f(x) match in f′(x)f'(x)?

x-intercepts of f′(x)f'(x)

How is a concave up curve described?

Bends upward like a smile ∪

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