Question

write a function rule for the table.
f(x) = x - 4
f(x) = x + 4
f(x) = -4x
f(x) = 4 - x
(table)
X f(x)
3 -1
4 0
5 1
6 2

Answer 1

@ganeshie8

Answer 2

hint:
Please, if you insert the values x=3, 4, 5, 6 in the first function, what do you get?

Answer 3

I don't understand the question >.<

Answer 4

for example:when x=3, I can write:
f(3)= 3-4= -1
please note that I consider the first function, namely f(x)=x-4, and I substitute 3 in place of x

Answer 5

please do the same with other values of x

Answer 6

would my answer be f(x) = 4 - x ?

Answer 7

no, because when x=6, then f(6)=4-6=-2

Answer 8

oh.. okay so A?

Answer 9

yes, it is!

Answer 10

can you help me with more? you've been a huge help already c:

Answer 11

ok!

Answer 12

okay so this one has a graph im gonna attempt to draw it out

for the function whose graph is shown which is the correct formula for the function?
A. y = IxI - 1
B. Y = Ix - 1I
C. Y = Ix + 1I
D. Y = IxI + 1

Answer 13

do you know the meaning of the symbol |x|?

Answer 14

no not really :(

Answer 15

it means the absolute value of x. Namely, I can write this:
\[|x|=x\]
if \[x \ge 0\]

Answer 16

and:
\[|x|=-x\]
if
\[x < 0\]

Answer 17

Don't worry, it is a definition only

Answer 18

is it clear, please?

Answer 19

yes it is c:

Answer 20

ok! Now let's take your first function, namely f(x)=|x|-1

Answer 21

using the definition of |x|, I can write;
\[f(x)=x-1\]
if\[x \ge 0\]

Answer 22

so we have:

Answer 23

is it clear, please?

Answer 24

yes its clear

Answer 25

and I can write:
\[f(x)=-x-1\]
if
\[x< 0\]
then we have: