If anyone could help me on how to do active maths 2 q13 iv) pg 445 please 😖😖 I'll be so grateful
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 x-axis 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