Question

Q-ꜰɪɴᴅ ᴛʜᴇ ᴍᴀxɪᴍᴜᴍ ᴀɴᴅ ᴛʜᴇ ᴍɪɴɪᴍᴜᴍ ᴠᴀʟᴜᴇꜱ, ɪꜰ ᴀɴʏ, ᴡɪᴛʜᴏᴜᴛ ᴜꜱɪɴɢ ᴅᴇʀɪᴠᴀᴛɪᴠᴇꜱ ᴏꜰ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ꜰᴜɴᴄᴛɪᴏɴꜱ:

Q-ꜰ (x) = –(x – 1)2 + 2 ᴏɴ ʀ

ɴᴏᴛᴇ_ᴅᴏɴᴛ ꜱᴘᴀᴍ​

Answer 1

Answer:

Given,

f(x)=−(x−1) ^2 +2

we have, −(x−1) ^2 ≤0 for all x ∈ R

⇒−(x−1) ^2 +2 ≤0 +2 for all x ∈ R

∴ f(x) ≤2 for all x ∈ R

∴x=2 is the maximum value.

Bt function doesn't attain the minimum value at any point in its domain.

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Answer 2

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