Question

A. Graph the piece-defined function

Answer 1

Answer:

A. see the attached

B. domain: all real numbers; range: [-6, -6] U [2, ∞)

Step-by-step explanation:

A. The graph is shown in the attachment.

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B. The function is defined for all values of x, so the domain is all real numbers.

The range includes all numbers 2 or greater, as well as -6.

Answer 2

Answer:

Domian x is set of all real numbers (-∞, ∞)

range is $(-6)$ U [2,∞)

Step-by-step explanation:

A. Graph the piece-defined function

f(x)={x+4,x≥-2

-6, x<-2

Domain is the set of x values, $x\geq -2, x$

Domian x is set of all real numbers

For range we check the y values

$y=x+4$

Plug in $-2$ for x

$y=-2+4=2$

$y=2$

so range is y values greater than 2

For second function, y value is only -6

So range is $(-6)$ U [2,∞)