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

1.

For which intervals is the function negative?

Get each correct answer.

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

PhoenixForever Mar 4, 2019

#1**0 **

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

YourNameHereee Mar 4, 2019

#2**+1 **

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

YourNameHereee Mar 4, 2019

#4**+2 **

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

CPhill Mar 4, 2019

#5**+2 **

I meant to get back to this, but forgot lol, thanks CPhill, I hope this helps PF

YourNameHereee Mar 4, 2019