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Question 18 of 18 in Algebra 8

Algebra 8

4 marks · Hard

Consider the function with domain .

Explain how you determine the range of . Then write down the range.

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

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Also accept: { -1, 0, 3, 8 }

Common mistakes: Forgetting to include all outputs; Calculating for incorrect domain elements

Show mark scheme and worked solution

Marking points

M1 · 1 mark · State that the range is found by substituting each value of the domain into the function.

M2 · 1 mark · Correctly substitute all values x = 0, 1, 2, and 3 into m(x).

A1 · 1 mark · All outputs are correctly calculated: m(0), m(1), m(2), m(3).

A2 · 1 mark · The final range is written as a set: { -1, 0, 3, 8 }.

Worked solution

To find the range of : Substitute each value from the domain into the function.

So the range is { -1, 0, 3, 8 }.

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