+360 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
+67 For problem number 2, do you know what relative minimum and relative maximum are?
+67 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
+129847 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
+67 I meant to get back to this, but forgot lol, thanks CPhill, I hope this helps PF
