Domain and range of a function (AQA GCSE Further Maths): Quizzes

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Domain and range of a function
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What does the domain of a function represent?

All possible x-values (input values)

What does the range of a function represent?

All possible y-values (output values)

How does the domain affect the range of a function?

Range depends directly on domain

What does the inequality symbol ≥\geq indicate about an endpoint?

Endpoint is included

What does the inequality symbol >> indicate about an endpoint?

Endpoint is excluded

For f(x)=6−4xf(x) = 6 - 4x when x=−2x = -2, what is f(−2)f(-2)?

1414

For f(x)=6−4xf(x) = 6 - 4x where −2≤x≤3-2 \leq x \leq 3, what is the range?

−6≤f(x)≤14-6 \leq f(x) \leq 14

For a linear function with negative slope, where does the highest output occur?

At the smallest x-value

What is the range of f(x)=x2f(x) = x^2 with an unrestricted domain?

f(x)≥0f(x) \geq 0

When reading domain from a graph, what should you look at?

X-axis, leftmost to rightmost point

What do open circles on a graph indicate?

Points not included

What is the first step to find the range of a function?

Identify domain restrictions

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