Mathematics, 21.06.2019 12:40 katrinanuez

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

Answers: 2

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Answer from: Bbmonstr8279

Cis the correct answer
The graph below could be the graph of which exponential function?

Answer from: aceccardi03

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

Answer from: SkinnestXOXO

$y=2.(0.5)^{x}$

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,

$y=a(b)^{x}$

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),

$2=a(b)^{0}$

a = 2

For (1, 1),

$1=2.(b)^{1}$

$b=\frac{1}{2}$

Therefore, given graph represents an exponential function,

$y=2.(\frac{1}{2})^{x}$

Or, $y=2.(0.5)^{x}$

Answer from: luffybunny

Step-by-step explanation:

Answer from: morgantisch25

Step-by-step explanation:

Answer from: allicat133

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

Step-by-step explanation:

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

Answer from: netflixacc0107

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

Step-by-step explanation:

The graph below could be the graph of which exponential function? i'll do the graph a. f(x) = 2 * (

Answer from: oliviaberta91

It is B.

Step-by-step explanation:

Answer from: dw685978

The correct option is B.

Step-by-step explanation:

The general form of an exponential function is

f(x)=ab^x

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<1, then f(x) is an decreasing function

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

F(x)=2(b)^x

Where, b<1.

In option B, b=0.5<1, therefore option B is correct.

Answer from: supersquad907p2m3vo

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.

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