Question

Construct a table of values and a graph

o
t
o
h
for each of the following functions. Be
p
/
m
sure to select at least two values in the
o
c
.
r
interval 0 < x < 1.


2. How did you decide what values to use for x in your table?
3. How did you use the x values to find the y values in the table?
4. What similarities do you see in the graphs?
5. What differences do you observe in the graphs?
6. What is the effect of changing the base on the graph of a logarithmic function?

Answer 1

pls edit the question. there seems to be missing information. the function are not there.

in the meantime I hive you as much as possible.

I'll edit when you gave the missing functions.

your table of values could look like this:

x y1 y2

-2

-1

0

0.25

0.5

1

2

3

4

5

2. I did choose some negative integers, some positive and, as the problem requested, 2 values between 0 and 1. this should give some idea of the function when graphed.

3. calculate each scenario by swapping the x in the formula with the value for x from the table.

4. [need the functions for this one, but probably: one has a steeper slope than the other one]

5. [definitely need the graphs for this. I'll graph dem for you then]

6. the common logarithm is to the base 10. that means it answers questions like

`{10}^(x) = 100`

this would be 2 for the example, so

`log(100) = 2`

`log_(10)(100) = 2`

these two are the same

if we change the base to, let's say, 8, it gives answers to problems like

`{8}^(x) = 64`

this is relatively easy to see 2, so we can write it this way:

`log_(8)(64) = 2`

Generally speaking, the log asks to wich power some base has to be raised to equal as certain value, like eight to the power of what equals 64.