Question

Sketch a graph of the function f(x)=-|x|

Exponential models
ANSWERED
asked 2021-08-07
Sketch a graph of the function. Use transformations of functions whenever possible. \(\displaystyle{f{{\left({x}\right)}}}=-{\left|{x}\right|}\)

Answers (1)

2021-08-08
Step 1
First graph function \(\displaystyle{y}={\left|{x}\right|}\)
Then, to obtain graph of function \(\displaystyle{f{{\left({x}\right)}}}=-{\left|{x}\right|}\), do following transformations:
-reflect with respect to x-axis
On graph:
Red - \(\displaystyle{y}={\left|{x}\right|}\)
Blue - \(\displaystyle{f{{\left({x}\right)}}}=-{\left|{x}\right|}\)
Step 2
image
0
 
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