Question

Use complete sentences to analyze the graph of the function f(x) = log 1/4 x.

Part 1 : Describe the domain, range, and general shape of this graph.

Part 2: Using complete sentences, explain how plotting specific points helps graph the function and note any critical points such as its intercepts.

Answer 1

@mathmate @amilapsn can you help me?

Answer 2

we'll try please wait a second...

Answer 3

the domain of f(x) should be considered such that f(x) is real okay?

Answer 4

ok

Answer 5

so , what are the range of values of x then?

Answer 6

...thst fulfil that need...

Answer 7

all real numbers

Answer 8

no.. wait.. can x be negative?

Answer 9

of x>0

Answer 10

oh*

Answer 11

okay you got it...

Answer 12

wait that was the domain right?

Answer 13

then think about f(x) now...

Answer 14

yeah your domain is correct...

Answer 15

ok, how do I find the range?

Answer 16

first think about logx

Answer 17

ok

Answer 18

what do I do with logx

Answer 19

\[\ln \frac{ x }{ 4 }=\ln x-\ln4\]

Answer 20

okay?

Answer 21

yes

Answer 22

you know the range of lnx?

Answer 23

um, no

Answer 24

\[\ln x=\log_{e} x\] okay?

Answer 25

ok, does that help us find the range?

Answer 26

yeah...

Answer 27

that means the range of ln(x) is between \[\ln(e^{-\infty}) \to \ln(e^{\infty})\]

Answer 28

Does that ring a bell to you?

Answer 29

so is that the same as : (-infinity, +infinity) ?

Answer 30

yeah you got that!

Answer 31

which is the same as all real numbers.

Answer 32

of course!

Answer 33

:) I do I find the intercepts?

Answer 34

how*

Answer 35

Think*

Answer 36

Plug in 0 for x to find y intercepts, and plug in 0 for y to find x intercepts ?

Answer 37

But there's something.. You'll figure it out....