The graph below could be the graph of which exponential function?

Cis the correct answer

Ibelieve a is the correct answer because 3 is the y-intercept you can see it from the graph. so from here the answers could only be a and c. they are differently at the sign.substitute x with 1so the equation for a is 3*(1.4)^x3*(1.4)^1 = 4.2look back at the graph it is true that when x= 1 y= 4.2if you use equation from c. when x= 1 then y will be negative number which is falseso correct answer is a

Step-by-step explanation:

Although the options of this question have not been given, but still we can find the function from its graph.

Let the function is,

This graph is passing through two points (0, 2) and (1, 1).

By substituting these points in the function we can find the values of a and b,

For (0, 2),

a = 2

For (1, 1),

Therefore, given graph represents an exponential function,

Or,  

A

Step-by-step explanation:

b

Step-by-step explanation:

C. F(x)=2 * (0.7)^x.

Step-by-step explanation:

If b>1, then f(x) is an increasing function and if b

F(x)=2*(0.5)^x

Step-by-step explanation:

It is B.

Step-by-step explanation:

The correct option is B.

Step-by-step explanation:

The general form of an exponential function is

Where, a is the initial value of the function and b is the growth factor.

If b>1, then f(x) is an increasing function and if b

From the given graph it is noticed that the initial value of the function is 2. It means the value of a is 2.

The graph shows that the function is a decreasing function, therefore the value of b must be less than 1.

It means the required function is in the form of

Where, b

In option B, b=0.5

The correct option is C.

Step-by-step explanation:

∵ The given graph is of increasing nature.

∴The base of the exponential will be greater than 1.

∴ option A is incorrect.

Also, at x=0 the value of y=3, but in option B at x=0 ⇒y= 3^0 =1

∴ option B is also incorrect.

At x=0, y=3 for option 3 which satisfies the graph.

∴ the option C is correct.

option D is incorrect because the base of an exponential can never be negative.