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# Some graph help with features of functions? :)

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Still trying to wrap my head around these kinds of problems!!

1.

For which intervals is the function negative?

Options

(6,8]

(-4,0)

[-6,-4)

(0,6) 2.

What is the relative minimum of the function? 3.

Which answer describes the function f(x)=x^5+2x ?

Odd

Even

Neither

Mar 4, 2019

#1
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For problem number 2, do you know what relative minimum and relative maximum are?

Mar 4, 2019
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I don't unfortunately...

PhoenixForever  Mar 4, 2019
#2
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For question 1, (-6,-4) is the function is negative, it’s the only answer choice that lands on the image in the graph that is below the x-axis

Mar 4, 2019
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2. The relative minimum of a function is the lowest part of a graph in its "neighborhood"

In this function.....the lowest part of the graph  is the least y value.....this is  at y = -5

So....-5 is the relative minimum....[ also the absolte minimum ]

3.  Here's an easy test for eveness/oddness

Test for even.....sub -x for x.......if this equals the original function....it is even

So  (-x)^5 + 2(-x)     =  -x^5  - 2x

This does not equal  x^5 + 2x

Not the same....so....not even

Test for odd....if f(-x) = -f(x)

(-x)^5 + 2(-x)   =   - [ x^5 + 2(x) ]      ???

-x^5 - 2x  =  -x^5 - 2x

The same...so....odd   Mar 4, 2019
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Thanks very much for the explanations as always!

PhoenixForever  Mar 5, 2019
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I meant to get back to this, but forgot lol, thanks CPhill, I hope this helps PF

Mar 4, 2019