ʟᴇᴛ ꜰ={(1,1),(2,3),(0,-1),(-1,-3)} ʙᴇ ʟɪɴᴇᴀʀ ꜰᴜɴᴄᴛɪᴏɴ ꜰʀᴏᴍ ᴢ ɪɴᴛᴏ ᴢ ,ᴛʜᴇɴ ꜰɪɴᴅ ꜰ(x)
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Since/is a linear function.
∴ f{x) = ax + b
But (0,-1) ∈ f . f(0)
∴ a(0) + b ⇒ -1 = b
Similarly, (1, 1) ∈ f
∴ f(1) = a(1) +a(1) + b ⇒ 1= a + b
∴ a = 2 ∴ f(x) = 2x -1
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