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

Someone help me I don't know how to use garage band please help if you know how t

Answer 32

calc iii solution check

Answer 33

find max and min of x^2 + y^2 subject to the constraint x^2 - 8x +y^2 - 10y = 0

Answer 34

calc iii lagrange multipliers problem

Answer 35

Emotional effects of steroid use seem to depend on the _______ of the steroid used.

Answer 36

catlover462634
ASAP!!! PLEASE! I need this done and quick. im not sure why but i can even think of anything to do this.

Answer 37

Luella has a pond in her yard. She wants to surround it with 330 feet of fencing. The fencing is sold by the yard. How many yards should she buy?

Answer 38

someone check my answers
http://prntscr.com/mls3hl

Answer 39

https://i.imgur.com/Wjmpc6D.png

Answer 40

Assessment items
Assessment started: undefined.
Item 1

Read the passage.

Dark Star

Giselle leaned against the mahogany bay horse, stroking the white diam

Answer 41

Okay I was gone for a minute BUT I'M BACK NOW

Answer 42

the scatter plot presents Ray's monthly electricity bills and amount of time ray

Answer 43

Which word shares a connotative meaning with the word cheap as it is used in this sentence?

Ashley thought her parents were being cheap when they bought ge

Answer 44

Which revision fixes the dangling modifier in the sentence?

Rowing through the rapids, the canoe began to fill with water.

Answer 45

dangling modifier

Answer 46

Misplaced Modifiers

Answer 47

For which literary work did Joseph Heller use his military experiences as a prima

Answer 48

Calc III Tutorial: Lagrange Multipliers

Answer 49

Can someone translate this for me?

Answer 50

Find the interest due on $1,090 at 8% for 5 years.

43.60
68.13
436.00
681.25