Question

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

-4
-3
3
4

Explanation:

Identify the given function form

The exponential function is represented in the form:

$$f(x) = a(b^x)$$

Determine the y-intercept from the graph

To find the value of \(a\), we evaluate the function at \(x = 0\):

$$f(0) = a(b^0) = a(1) = a$$

Thus, the value of \(a\) is equal to the y-intercept of the graph.

Read the y-intercept value

Looking at the graph, the curve crosses the vertical y-axis at the point \((0, 3)\).
Therefore:

$$a = 3$$

Answer:

• -4
• -3
• 3 (Correct answer)
• 4