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) − 1
When f(x) becomes −f(x) + 1

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) − 1
    When f(x) becomes −f(x) + 1

anonymous · Answer

@phi

mathmale · Answer

I'll help you get started:
When f(x) is transformed into f(x)-1, the effect on the graph is to shift (translate) the whole graph downward by 1 unit.  If f(x) happens to have a horiz. asymptote, y=a, shifting the whole graph downward by 1 unit will result in a new horiz. asymptote, y=a-1.

What else would you like to know?  I'm hoping to encourage you to ask some specific questions.