# 1 What is the inverse equation of the function f(x) = x 2 – 4?

1 What is the inverse

equation

of the function f(x) = x2 – 4?

2 Sketch the inverse of the function f(x) = x2 – 4 on graphing paper. Remember that the inverse graph should look identical in shape to the original, only flipped or rotated in some way. Your equation should represent the equation you provided in Task 1

3 You should notice that your graph in Task 2 is not a function. Choose part of the graph that would represent a function when graphed on its own. Highlight this portion of your graph.

4 Now that you have a

function

highlighted in Task 3, what are the domain and range of this highlighted function? (We are asking you to find the restricted domain and range of the inverse

equation

from Task 1 that makes this an inverse

function

on its own.)
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