Question

Which function is shown in the graph below?

Answer 1

Its B

Step-by-step explanation:

Answer 2

Answer: The correct option is 2.

Step-by-step explanation:

From the given figure it is easily noticed that the graph intersect the y-axis at y=9 , therefore the y-intercept is (0,9).

To find the equation of the curve put x=0 in each option, If we get y=9 then that option is true.

Option 1:

`y=((1)/(2))^((x+3))-1`

`y=((1)/(2))^((0+3))-1=(1)/(8)-1=(-7)/(8)`

Option 2:

`y=((1)/(2))^((x-3))+1`

`y=((1)/(2))^((0-3))+1=8+1=9`

Option 3:

`y=((1)/(2))^((x-1))+3`

`y=((1)/(2))^((0-1))+3=2+3=5`

Option 4:

`y=((1)/(2))^((x+1))-3`

`y=((1)/(2))^((0+1))-3=(1)/(2)-3=(-5)/(2)`

Only the equation in option 2 have the y-intercept (0,9), therefore the correct answer is option second.