Given the two points (3,1) and (5,4), find the equation of the exponential function that passes through these two points.

y =

Step-by-step explanation:

For an exponential of the form y = a

Use the given points to find a and b

Using (3, 1 ), then

1 = ab³ → (1)

Using (5, 4 ), then

4 = a → (2)

Divide (2) by (1)

= 4

b² = 4 ⇒ b = = 2

Substitute b = 2 into (1)

a2³ = 1

8a = 1 ( divide both sides by 8 )

a =

Thus exponential function is

y =

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

~just a girl in love with shawn mendes

gmt is 4 hrs ahead of edt so just add four hours to 1: 14: 20 (minutes and seconds stay the same)

gmt is 5: 14: 20

hope this !

~just a girl in love with shawn mendes