If anyone could help me on how to do active maths 2 q13 iv) pg 445 please ðŸ˜–ðŸ˜– I'll be so grateful

themathstutor.ie
OK. This is finding the range of values of k for which f(x) = k has 2 solutions.
So you've drawn the graph. It looks like a frown i.e. it has a max point.
Draw a line parallel to the xaxis at the highest point possible, while still "cutting" the graph 2 times. This line will be y = 2 or y = 3 or whatever. Whatever that number is, is one end of your range.
Do the same at the lowest point possible, and again it will be y = [a value] . This is the other end of the range.
So, for example if y= 4 was one of these lines, and y = 3 was the other, then your range of values for k would be 3 to 4, or you can write it as 3 < k < 4
Hope that helps :)
Eamonn  TheMathsTutor.ie

Cathy20155
Thanks :)

Me
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