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 −one half ⋅ 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 −one half ⋅ f(x)

welshfella · Answer

for the transformation f(x)--->  f(x) + a  the whole graph moves upwards a units so the y-intercept increases by a units.