How do you make an exponential equation with these two points: (1,2) and (0.5,4)

The required  equation is y=8×(

Step-by-step explanation:

Given,

The two points are (1,2) and (0.5,4)

To find the exponential equation of these given points.

Formula

The general form of exponential equation is y = where, A and B are any real number.

Now, the points satisfy the equation.

So,

2 = ------- (1) and

4 =   ------ (2)

Now (1) ÷ (2) we get,

=

or, =

or, b = [ by squaring we get]

Now, from (1) we get,

2 = a×

or, a = 8

Hence,

The equation is y=8×(

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !