Question

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

0

1

2

4

Answer 1

Option C.

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.

Answer 2

Option C is correct

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

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.