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

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\:* \: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