Question

How do I graph this f(x) = log 1/4 x.

Answer 1

are you allowed to use calculus?

Answer 2

No

Answer 3

is the function

\[f(x) = \log_{\frac{1}{4}}(x)\]

Answer 4

Yes. the (x) is just x

Answer 5

The function log(x) looks like this based on my memory

Answer 6

well roughly like that

Answer 7

What would the range,domain and general shape be?..

Answer 8

Just come up with some points to sub into x
Remember the domain of log(x) is (0,+infinity)

100, 10, 6, 5, 4, 3, 2, 1

Answer 9

you can also think of the graph as a reflection of the graph \(\large y=(\frac{1}{4})^x \) over the line y=x

Answer 10

to type this into your calculator you just put

log(100)/log(1/4) = log_(1/4)(100)

Answer 11

What would the range,domain and general shape be?..

Answer 12

the range would be infinity

think about it

log(x) = y
is the same as
10^y = x

Answer 13

notice that y can be any number, whereas x can never be negative

Answer 14

Oh okay, and the domain is all real numbers?

Answer 15

well

\[(\frac{1}{4})^y = x\]

Answer 16

can x ever be negative

Answer 17

no

Answer 18

then there is your answer

Answer 19

which is what?

Answer 20

The base of a logarthimic function can never be a negative number?

Answer 21

think about it range is represented by y
domain is represented by x

Answer 22

if x can never be negative what does that say about the domain

if y can be any value what does that say about the range

Answer 23

the domain is all positive numbers?

Answer 24

yes

Answer 25

but it cannot be zero

Answer 26

but for this equation I would say the domain is all positve numbers and not 0

Answer 27

yes

Answer 28

say x>0

Answer 29

thank you

Answer 30

to plot this by hand, I would change it to
\[ (\frac{1}{4})^y= x \]
now try numbers for y: y= 1 makes x= 1/4
y= 2 makes x= 1/16 (hmm x is getting closer to 0)
plot those points (1/16,2) and (1/4, 1)

try making y smaller
y=0 , so x= (1/4)^0 = 1 (anything to 0 power is 1) (oh, except 0^0)
so (1,0) is a point
try y= -1
x= (1/4)^(-1)= 4^1 (flip the fraction)= 4
so (4,-1)
try y= -2
x= 4^2= 16 so (16,-2)
that is enough to see how it looks

Answer 31

Are only Crunchy foods are better with salt?

Is there any 'soft or mushy' foods that are better when it's salty?

I had a random thought that usually only

Answer 32

quick question - how to identify which compounds would go in the aqueous vs organ

Answer 33

Lucy draws a line on a coordinate plane. Which transformation will always result in a line perpendicular to Lucyu2019s line?

A.

Answer 34

A type of plant is introduced into an ecosystem and quickly begins to take over. A scientist counts the number of plants after m months and develops the equ

Answer 35

Tia wants to hang a big letter T on her bedroom door dimensions are shown in figu

Answer 36

When a system releases heat to the surroundings it is a(n) _____ process.
A. neutral
B.

Answer 37

Analyze how different concentrations of solutes in a solution can affect organism's cells.

Answer 38

Becky has a board that is 2 and 3/4 feet long. She needs to cut the board into 11 pieces of equal length.

Answer 39

Anatomy Tutorial: Lymphatic Tissues & Organs

Answer 40

In a well-written paragraph, describe a government-based effort (international or not) to improve resource use and management.

Answer 41

In a reaction (at equilibrium) that makes fewer moles of gas than it consumes, what is the effect of lowering the pressure?
A.

Answer 42

This activity may be done on your own or collaboratively. If you choose to do this activity collaboratively with another student, you must meet the followin

Answer 43

A 30.0 L sample of nitrogen inside a rigid metal container at 20.0 u00b0C is placed inside an oven whose temperature is 50.

Answer 44

How do we calculate total time and free float time?
In critical path analysis.

Answer 45

Anatomy Tutorial: Endocrine Functions of Other Organs

Answer 46

Anatomy Tutorial: The Adrenal Glands

Answer 47

grignard + ester mechanism check

Answer 48

acidity of carbonyl compounds question

Answer 49

Yuriu2019s sister Karina is 12 years old. In the equation below, y represents Yuriu2019s age in years.

Answer 50

Music