The equations are y = 3(1)ˣ and y = 6/8 x (4).
The formula for an exponential function is f(x) = aˣ, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.
The d Here are two different exponential functions of the required form that intersect at x = 1 -
y = 3(1)ˣ
y = 6/8 x (4)ˣ
In the first equation, a = 3, and b = 2.
Plugging in x = 1, we get -
y = 3(1)1¹
y = 3 x 1
y = 3
So the point of intersection of this equation with the x-axis is (1, 3).
In the second equation, a = 6/8, and b = 4.
In the second equation, a = 6/8, and b = 4.
Plugging in x = 1, we get
y = 6/8 x (4)1
y = 3/4 × 4
y = 3
So the point of intersection of this equation with the x-axis is also (1, 3). So, both of these equations intersect at x = 1 and are of the form y=a x bˣ.
Therefore, the equations are y = 3(1)ˣ and y = 6/8 x (4).
Complete reference picture is attached below.