Function Graphs: Solving Questions with Step-by-Step Guide

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The discussion focuses on understanding how to interpret and solve function graph questions for GCSE mathematics. For finding f(3), the correct approach is to move along the X-axis to 3, then find the corresponding Y value on the graph. To solve f(x)=6, one should draw a horizontal line at y=6 and identify where it intersects the graph to find the X values. The term ff(1) refers to f(f(1), requiring the user to first find f(1) and then use that result to find the next Y value on the graph. The guidance provided clarifies the steps needed to approach these types of function graph problems effectively.
tigerd12
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Hey all

Recently in a paper I was doing I came across a question which involved the graphing of a function. Now I am doing GCSE mathematics (the real exam) soon, having finished the syllabus; and have never come across anything like this before!

Here's the question

The graph y=f(x) is drawn

Find f(3)

Attempt: Do I go 3 along the X axis then go up see where it cuts the graph, draw a line there and find solutions?

Find f(x)=6

Attempt: Do I draw the line y=6 and see where this intersects with the graph? giving solutions

Find ff(1)?

Attempt: Do I.. do f(1), meaning go 1 across on the X axis, find the solution where it cuts the graph and go across to see the Y value, then after I obtain this value go along the X axis and find the point of intersection?

Thanks for any help, I really don't understand! I have never seen this type of question before
 
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f(3): your thinking is correct.

f(x)=6: correct, then you "look down" to the x axis.

ff(1): I guess that means f(f(1)). After you find y = f(1), go across the X axis to find y on the X axis, then find f(y).
 
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