Question

Which exponential function is represented by the graph?

Answer 1

Answer:

see explanation

Step-by-step explanation:

The exponential function is in the form

y = a $(b)^{x}$

Use points on the graph to find a and b

Using (0, 3), then

3 = a $(b)^{0}$ ⇒ a = 3

Using (1, 6), then

6 = 3 $(b)^{1}$ ⇒ b = 6 ÷ 3 = 2

The equation is y = 3 $(2)^{x}$

Answer 2

Answer:

y = $3*2^{x}$

Step-by-step explanation:

The general form for an exponential function is :

y = $ab^{x}$

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 = $ab^{0}$

3 = a (1)  or a = 3

for (x=1, y = 6),

6 = $ab^{1}$

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

6 = 3b

b = 2

Hence the equation is:

y = $3*2^{x}$

Edit reason: typo in the final answer