Question
Asked Dec 7, 2019
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The function f is defined as follows.
2+x if x<0
f(x) =
2
x?
%3D
if x20
(a) Find the domain of the function.
(b) Locate any intercepts.
(c) Graph the function.
(d) Based on the graph, find the range.
(e) Is f continuous on its domain?
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The function f is defined as follows. 2+x if x<0 f(x) = 2 x? %3D if x20 (a) Find the domain of the function. (b) Locate any intercepts. (c) Graph the function. (d) Based on the graph, find the range. (e) Is f continuous on its domain?

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Expert Answer

Step 1

Given function is

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(2+x _if x < 0 f(x) = |x² if x20

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Step 2

The function f(x) is defined everywhere on real line.

Therefore, the domain of the function is set of real numbers.

Step 3

For the y intercept set x = 0

At x = 0 we have f(x) = x2, so f(0) = 0.

Thus, the y intercept is (0, 0)

 

The point at which  f(x) = 0 is called x intercept.

The given functio...

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