Still trying to wrap my head around these kinds of problems!!
For which intervals is the function negative?
Get each correct answer.
What is the relative minimum of the function?
Which answer describes the function f(x)=x^5+2x ?
For problem number 2, do you know what relative minimum and relative maximum are?
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
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