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

PLEASE HELP!!
Complete the analogy below.
amplitude : loudness :: frequency : _________
A.

Answer 32

PLEASE HELP!!
Sound waves can best be described as _________.
A. opaque
B. polarized
C.

Answer 33

Which of the following major contributions were made by Maury?

creating navigati

Answer 34

Cousteau and Gagnan _____.

invented SCUBA
lived in Sealab II
developed u201csign

Answer 35

A scientist is studying the effect on human health of bacteria that live in the human intestine.

Answer 36

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Answer 37

Find the derivative dy/dx if

Answer 38

Alice wanted to compare birthday cake prices in two supermarkets. She wrote down the daily prices for a few days and found that the difference of the two sa

Answer 39

which of the following was directly caused by germanys invasion of Belgium

Answer 40

How do Hallyu2019s memories help advance the plot?

They suggest that Hally is afraid of his father.

Answer 41

math help pls

Answer 42

"If we fight the stranger, we shall hit our brothers and perhaps shed the blood of a clansman.

Answer 43

... help please? am i right?
http://prntscr.com/kjxchc

Answer 44

Solve.
33=8^5z+4

Answer 45

A car is moving southwest at a velocity of 10 meters per second. Five seconds later, it's going 40 meters per second.

Answer 46

If you run 10 km east and then turn around and run 7 km west, how much total distance have you travelled?
A.

Answer 47

Which of the following is a vector measurement?
A. 0.08 g/L
B. 6.5 m/s down
C. 45 m/s slowly
D. 15 km/hr

Answer 48

The beginning of the Anglo-Saxon period roughly corresponds with which historical

Answer 49

What is the angle of rotation for the polygon shown?

https://learning.k12.com/content/enforced/437405-COF_ID125380/Picture2.

Answer 50

What type of transformation is shown in this image?

https://learning.k12.com/content/enforced/437405-COF_ID125380/Picture1.