What is the range of the function f(x) = |x| – 3?

1 answer:

3 0

Why not draw the graph of y=|x|? It has a v-shape, and the vertex is at (0,0).

The graph of f(x) = |x| - 3 looks exactly the same, EXCEPT that the whole graph of |x| is shifted 3 units downward. The smallest value that y can have is therefore -3.

Can you now figure out the range of f(x)?

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