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OlympiadBench / 2243 / Determine, with justification, all values of k for which y=x²−4 and…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

answer type

Interval

is multiple answer

false

language

English

question

Determine, with justification, all values of

k

for which

y=x^{2}-4

and

y=2|x|+k

do not intersect.

Plain-text mathematical notation (without MathML)

Determine, with justification, all values of k for which y=x²−4 and y=2|x|+k do not intersect.

Original LaTeX notation

Determine, with justification, all values of $k$ for which $y=x^{2}-4$ and $y=2|x|+k$ do not intersect.

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 2243
task_id: 38c3b7c1-9937-50ed-bc0a-95cc9be57c49
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--2243
task_revision_id: 1
config / split: OE_TO_maths_en_COMP / train

Official source

initial import