Which of the following is the graph of y= log3(x + 2)?
PLEASE ANSWER

Correct answer option A.

Step-by-step explanation:

We need to figure out the graph of

First of all, let us discuss graph of:

( log of 1 is always 0 irrespective of the base)

i.e. point (1, 0) lies on the graph.

i.e.

i.e. point (3, 1)  lies on the graph

Graph of logarithmic function is always increasing.

Now, let us consider the graph of

Please refer to attached graph as well.

Correct answer option A.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.