Which exponential function is represented by the graph?

see explanation

Step-by-step explanation:

The exponential function is in the form

y = a

Use points on the graph to find a and b

Using (0, 3), then

3 = a ⇒ a = 3

Using (1, 6), then

6 = 3 ⇒ b = 6 ÷ 3 = 2

The equation is y = 3

y =

Step-by-step explanation:

The general form for an exponential function is :

y =

We need to find out what a and b are using the values given in the graph.

we can see that (x=0, y = 3) and (x=1, y = 6) are points on the curve. Substitute these into the general equation

for (x=0, y = 3),

3 =

3 = a (1)  or a = 3

for (x=1, y = 6),

6 =

6 = ab (substitute a=3 from previous calculation)

6 = 3b

b = 2

Hence the equation is:

y =

Edit reason: typo in the final answer

13,-5,-35,-77,-131,-197

Step-by-step explanation:

To get from 13 to -5, you subtract 18 (or add -18)

To get from -5 to -35, you subtract 30

 To get from -35 to -77, you subtract 42

 Notice that the amount being subtracted is increasing by 12 each time.

 So the next subtraction will be 54, and the one after that will be 66.

 So the next term is -77 - 54 = -131

 And the term after that is -131 - 66 = -197

 So the sequence would be:  13,-5,-35,-77,-131,-197