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What is the exponential function in figure ?

What is the exponential function in figure ?-example-1

2 Answers

4 votes

Answer:

D

Explanation:

The standard form of an exponential function is

y = a
b^(x)

Using points from the graph to find a and b

Using (0, 6 ), then

6 = a
b^(0) = a × 1 ⇒ a = 6

Using (1, 3 ), then

3 = 6
b^(1) ⇒ b =
(3)/(6) =
(1)/(2)

The exponential function is

f(x) = 6
((1)/(2)) ^(x) → D

User Glenn Barnett
by
7.6k points
2 votes

Answer:

D

Explanation:

I see the curve given crosses the point (1,3).

So let's check and see which of the given equations is satisfied by that point.

Checking choice A:


y=2((1)/(4))^x with (x,y)=(1,3):


3=2((1)/(4))^1


3=2((1)/(4))


3=(1)/(2)

So choice A is not right.

Checking choice B:


y=2((1)/(2))^x with (x,y)=(1,3):


3=2((1)/(2))^1


3=2((1)/(2))


3=1

So choice B is not right.

Checking choice C:


y=6((1)/(4))^x with (x,y)=(1,3):


3=6((1)/(4))^1


3=6((1)/(4))


3=(3)/(2)

So choice C is not right.

Checking choice D:


y=6((1)/(2))^x with (x,y)=(1,3):


3=6((1)/(2))^1


3=6((1)/(2))


3=3

So choice D is the only choice that would contain the point (1,3) when graphed.

So choice C is not right.

User Yumee
by
7.7k points

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