Question

Consider the graph of the exponential function in the form of f(x) = a(bx).

The value of a in the function is
?

Answer 1

The value of a in the function is 3. a=3

Explanation:

This is the quick answer version. to see the full answer with explanation, see the above post.

Answer 2

In the equation f(x)=a(b^x), the term a gives us the y-intercept. This is because the y-intercept occurs when x=0. If x=0 in this equation, b^x equals 1 because any number to the power of 0 equals 1. This is then multiplied by a. Thus, is x is zero, f(x)=a.

On the graph, when x is 0, y is 3. This means that a=3.