Question

What is the initial value of the exponential function shown on the graph?

Answer 1

Answer:

Option C is correct

The initial value of the exponential function shown on the graph is, 2

Step-by-step explanation:

A function is a mathematical relation in which we input values of a domain that generate output values of a range.

Initial value of a function is the output value of the function  when the input value is 0.

As shown in the graph: the exponential function cut through the point (0,2)  ,

where y=2  when x=0.

therefore, the initial value of the given exponential function shown on the graph is, 2.

Answer 2

Answer:

Option C.

Step-by-step explanation:

Let the exponential function that defines the graph is y = $ar^{x}$

where a = initial value of the function

r = rate of change of the function

x = duration or time

Graph in the picture passes through (0, 2) and (1, 4)

So for the point (0, 2),

2 = $ar^{0}$

2 = a

Therefore, initial value of the exponential function in the graph is 2.

Option C. 2 is the answer.