Find the equation of the exponential function represented by the table below:

The equation of the exponential function represented by the table will be:

Step-by-step explanation:

We know the equation of exponential function such as

Put x=0, and y=2 in the function

Also x=1, and y=8 in the function

Thus,

Therefore, the equation of the exponential function represented by the table will be:

expression #3 is not equivalent. the others are.

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.