A level Maths Chapter 2 Graphs Questions

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bee115
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Hi! I was wondering if people would be able to help me me with these graph questions? I’ve given them a go but I know the answers are wrong since they look very off. For 2)b) I was hoping someone could tell me the difference between y=f(|x|) and y=|f(x)| as I don’t know so I haven’t drawn that graph! Thanks so much, I’ll attach pictures of the questions below
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bee115
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(Original post by bee115)
Hi! I was wondering if people would be able to help me me with these graph questions? I’ve given them a go but I know the answers are wrong since they look very off. For 2)b) I was hoping someone could tell me the difference between y=f(|x|) and y=|f(x)| as I don’t know so I haven’t drawn that graph! Thanks so much, I’ll attach pictures of the questions below
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old_engineer
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For 1(b), for the first intersection, it looks as though you've got as far as (9/4)x - 3 = 0 (which I agree with), but then the solution for x looks wrong. A couple of tips: (i) if you leave your working in exact form, it will be easier for any marker to see what you have done, and (ii) you can always plug your value for x into BOTH the line equations to see if you get matching values of y.
For the second intersection in 1(b) I can't see quite what you've done, but you should be looking to equate -(2x + 3) - 4 with -(1/4)x + 2.
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*****deadness
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(Original post by bee115)
Hi! I was wondering if people would be able to help me me with these graph questions? I’ve given them a go but I know the answers are wrong since they look very off. For 2)b) I was hoping someone could tell me the difference between y=f(|x|) and y=|f(x)| as I don’t know so I haven’t drawn that graph! Thanks so much, I’ll attach pictures of the questions below
You should know that the modulus function gives the positive magnitude of the input, so for y=|f(x)|, all the negative parts are reflected in the x axis as you’ve drawn. For y=f(|x|), you can imagine that the positive x values are unaffected while the negative x values are turned positive, so it’s a reflection in the y axis
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