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maths a level question

a straight line L has equation y=kx+1 where k is a constant. given that l does not meet or intersect the graph with equation y = |2x-9| + 3 find the range of possible values for k

please someone explain and give the answer
Original post by astiaf
a straight line L has equation y=kx+1 where k is a constant. given that l does not meet or intersect the graph with equation y = |2x-9| + 3 find the range of possible values for k

please someone explain and give the answer

Have you sketched the function and a few different values of k to get some insight?

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