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# The function f(x)=(5+x)^2+1 is increasing throughout the interval

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The function f(x)=(5+x)^2+1 is increasing throughout the interval

a.1

b. negative infinity

c. -5

d. negative infinity

THANKS

mrlevan3  Dec 5, 2017
edited by mrlevan3  Dec 5, 2017

#1
+6250
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f(x)  =  (5+x)^2 + 1

This is a parabola that opens upward, with its vertex at  (-5, 1)  .

So  f(x)  is increasing (the slope is positive) for every  x  value in the interval  (-5, ∞)

Look at the graph of  f(x)  here:  https://www.desmos.com/calculator/s14ug38qqc

hectictar  Dec 5, 2017
Sort:

#1
+6250
+1

f(x)  =  (5+x)^2 + 1

This is a parabola that opens upward, with its vertex at  (-5, 1)  .

So  f(x)  is increasing (the slope is positive) for every  x  value in the interval  (-5, ∞)

Look at the graph of  f(x)  here:  https://www.desmos.com/calculator/s14ug38qqc

hectictar  Dec 5, 2017

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