Question

In the function
f(x) = 4x - 9

how does an increase of 1 in the independent variable x affect
f(x)?

Answer 1

f(x) will have a decrease of 4x - 4
f(x) will have an increase of 4
f(x) will have an increase of 13
f(x) will have a decrease of 4
are the choices

Answer 2

instead of putting x, put x+1 into f(x)

Answer 3

check and see
replace x by 2 and compute
then replace x by 3 and compute
see the difference in the outputs

Answer 4

i still dont get it

Answer 5

f(x) = 4x - 9


f(x+1) = 4(x+1) -9

expand the right side of the equation. see what happens :)

Answer 6

f(x+1)=4x+4-9

Answer 7

am i right

Answer 8

plz help

Answer 9

so you have

f(x+1) = 4x-5

Answer 10

yes, thats correct,
so, f(x+1) = (4x-9)+4
= f(x) +4
now, what can you say ?

Answer 11

i dont know

Answer 12

f(x) +4 suggest that f(x) increased by 4, right ?

Answer 13

yes

Answer 14

so the answer is f(x) will have an increase of 4

Answer 15

yes., that would be correct :)

Answer 16

the slope of \(y=mx+b\) is \(m\) meaning an increase in 1 unit in the \(x\) direction gives n increase of \(m\) in the \(y\) direction

Answer 17

thank you very much

Answer 18

welcome ^_^