Question

What is the value of a for the exponential function in the graph represented in the form of f(x)=a(b^x)

Answer 1

Note: The complete question, along with the graph, is attached below.

Answer:

The value of a = 3

Step-by-step explanation:

Given the function

$f\left(x\right)=a\left(b^x\right)$

From the attached graph, it is clear that

at x = 0,

$f\left(0\right)=a\left(b^0\right)$

$\:f\left(0\right)\:=\:a\:\times \:1$         ∵ $b^0=1$

$f\left(0\right)=a$

Thus

When x = 0, the y-intercept will be:

$f\left(0\right)=a$

From the attached figure, it is clear that

at x = 0, the value of y = 3

so

putting y = 3 in the equation

$f\left(0\right)=a$

3 = a            ∵ $f\left(0\right)=y=3$

Therefore, the value of a = 3