what is the value of a for the exponential function in the graph represented in the form of…

what is the value of a for the exponential function in the graph represented in the form of f(x)=a(b^x)?\n-4\n-3\n3\n4

what is the value of a for the exponential function in the graph represented in the form of f(x)=a(b^x)?\n-4\n-3\n3\n4

Answer

Explanation:

Step1: Recall the property of exponential - function at x = 0

For an exponential function (y = a(b^{x})), when (x = 0), (y=a(b^{0})). Since (b^{0}=1) for (b\neq0), then (y = a) when (x = 0).

Step2: Find the y - intercept of the graph

From the graph, when (x = 0), the graph of the function (y = f(x)) intersects the y - axis at the point ((0,3)). That is, when (x = 0), (y=3).

Answer:

C. 3