Write an exponential function in the form
y
=
a
b
x
y=ab
x
that goes through points
(
0
,
4
)
(0,4) and
(
3
,
2916
)
(3,2916).

y = 4

Step-by-step explanation:

Using the given points to find a and b

Using (0, 4), then

4 = a ⇒ a = 4, thus

y = 4

Using (3, 2916), then

2916 = 4 b³ ( divide both sides by 4 )

729 = b³ ( take the cube root of both sides )

b = = 9

Thus

y = 4 ← is the exponential function

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation