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) − 3
When f(x) becomes −2 ⋅ f(x)

Answer 1

@dude im really confused with this one could you help

Answer 2

@Mehek could you help please

Answer 3

Chrome just crashed so now my writing just went poof.

Slightly upset
sorry about that

Answer 4

omg im sorry about that take your time

Answer 5

For the first equation, 3 is being subtracted from the whole equation, meaning that the whole equation goes down 3

Answer 6

ok...

Answer 7

what next

Answer 8

For this first equation we see 3 is being subtracted from the whole equation this meaning that the whole equation goes down by 3 this effect the y-intercept because it is decreasing by 3. The graph decreases to the negatives leaving the y-intercept -3 and the slope 0. And the end Behavior is a straight line parallel to the x-axis.

^is this right e.e

Answer 9

so if this is right what do we do about the second equation

Answer 10

@563blackghost can yew help e.e

Answer 11

Based on the above table, what transformation is done when \(\bf{f(x)}\) is turned to \(\bf{-f(x)}\)?

Answer 12

reflect across x-axis?

Answer 13

reflection

Answer 14

correct, so it reflects.

https://www.desmos.com/calculator/6t2saborjs

Now you see `2` is being applied.

\(\bf{-2f(x)}\) this is in the format of \(\bf{af(x)}\) so this would mean the equation is being either stretched or compressed.

is `-2` greater or less than `1`?

Answer 15

`2`* not `-2`

Answer 16

2 is greater than 1

Answer 17

Correct.

So it is stretched by 2 units.

https://www.desmos.com/calculator/dyr9r9ba6c

Answer 18

ok i just confused my self so when the expression -2*f(x) we see 2 is being applied. so when we put it together we use the format of af(x) making it look like −2f(x) this would mean the equation is being stretched because 2 is greater than 1 meaning its being stretched by 2 units.

Answer 19

^so this is the answer so far

Answer 20

@JustSaiyan could yew help e.e

Answer 21

when the expression -2*f(x) we see 2 is being applied. so when we put it together we use the format of af(x) making it look like −2f(x) this would mean the equation is being stretched because 2 is greater than 1 meaning its being stretched by 2 units. The graph shows how it decreases because it has no y-intercept. the end behavior is a straight diagonal line going through 0

Answer 22

^this is what i think the answer is im probably wrong but i have to move on

Answer 23

God no, I'm awful at Mathematics.

Answer 24

okie thanks tho e.e