Answer:
[tex]y=4(2^x)[/tex]
Step-by-step explanation:
we know that
The exponential function is of the form
[tex]y=a(b^x)[/tex]
where
a is the initial value or y-intercept
b is the base or factor growth
r is the rate of change
In this problem we have
looking at the graph
Is a exponential growth function (as the value of x increases the value of y increases)
so
[tex]b > 1[/tex]
The y-intercept is the point (0,4)
so
[tex]a=4[/tex]
substitute
[tex]y=4(b^x)[/tex]
From the graph take the point (1,8)
substitute in the exponential function and solve for b
[tex]8=4(b^1)\\b=8/4\\b=2[/tex]
therefore
The exponential function is equal to
[tex]y=4(2^x)[/tex]
Answer: y=4(2)ˣ or y=4 · 2ˣ or f(x)=4(2)ˣ or f(x)=4 · 2ˣ
Step-by-step explanation:
Saw this on Algebra Nation, got it correct.
