Question

Giving Medals
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)

Answer 1

This is what i have so far 1. The graph is moved up 2 units
2. The graph is reflected about the x axis and has a stretch factor of 1/2

Answer 2

Yes and yes :)

Answer 3

i need more

Answer 4

@study100

Answer 5

y intercept might be an equation, so the y intercept shifts up by 2

Answer 6

1. end behavior of f(x) + 2 won't change. if they are odd functions, then 1 up 1 down. If they are even functions, then both ends are either pointed up or both pointed down.

Answer 7

1. f(x) + 2. The parts where the graph increases or decreases won't change, since the x values stays the same. only f(x) is affected by this change.

Answer 8

when -1/2 f(x) the end behavior of an even function both goes down, assuming that f(x) is positive. if f(x) is an odd function, then the the graph goes up first then down.

Answer 9

The 1/2 in -1/2 f(x) stretch the graph of both even and odd functions, making the y intercept much closer to the origin.

Answer 10

that's it

Answer 11

thaNKS YOU

Answer 12

you're welcomed :)