3 years ago

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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Graph the solution of the inequality 2x - (3 - x) > x + 1 on the number line.

RoseWind [281]

Answer:

The graph is in the image

Step-by-step explanation:

$2x -(3-x)>x+1\\\\\begin{bmatrix}\mathrm{Solution:}\:&\:x>2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(2,\:\infty \:\right)\end{bmatrix}$