Consider the expression − + 3 10 x . a. As x − values increase, does the value of the expression increase, decrease, stay the
same, or is it impossible to tell? Explain.
b. When the value of x changes by a total of −5 units, by how much does the value of
the expression − + 3 10 x change? Explain.

x

3

−

2

x

2

−

8

x

x

2

−

4

x

=

x

+

2

, but  

x

cannot take values  

x

=

0

and  

x

=

4

Explanation:

x

3

−

2

x

2

−

8

x

x

2

−

4

x

=  

x

(

x

2

−

2

x

−

8

)

x

(

x

−

4

)

=  

x

(

x

2

−

4

x

+

2

x

−

8

)

x

(

x

−

4

)

=  

x

(

x

(

x

−

4

)

+

2

(

x

−

4

)

)

x

(

x

−

4

)

=  

x

(

x

−

4

)

(

x

+

2

)

x

(

x

−

4

)

=  

x

(

x

−

4

)

(

x

+

2

)

1

x

(

x

−

4

)

=  

x

+

2

but  

x

cannot take values  

x

=

0

and  

x

=

4

as that makes the denominator  

x

2

−

4

x

=

0

.

Step-by-step explanation:

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step-by-step explanation:

step-by-step explanation: