Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing, and the end behavior when the following changes are made. Make sure to account for even and odd functions.

When f(x) becomes f(x) + 2
When f(x) becomes −1/2 ⋅ f(x)

Question

Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing, and the end behavior when the following changes are made. Make sure to account for even and odd functions.


When f(x) becomes f(x) + 2
When f(x) becomes −1/2 ⋅ f(x)

triciaal · Answer

did you sketch the graphs?
the y-intercept is the value of y when x = 0 
consider when x is negative
consider when x is positive

anonymous · Answer

No I did not. I'm not really sure what the question is asking. Do I just draw the graph and then write down the behaviors?

triciaal · Answer

- f(x) is a reflection of f(x) across the x-axis

anonymous · Answer

There is no -f(x) in the question though

triciaal · Answer

yes that is my approach the sketch will help to "see" better

triciaal · Answer

look at the 2nd part of the question -1/2 f(x)

anonymous · Answer

Oh. I really have no idea how to do this. It's an essay question

triciaal · Answer

when you have a fraction in front then on the graph the y-value is a fraction  causing the graph to

triciaal · Answer

my suggestion is to use an example, sketch the graph then write about it

triciaal · Answer

|dw:1451424577407:dw|