Which function is shown in the graph below?

Question

asked Aug 11, 2018 207k views

2 Answers

Wasif Khan · Answer 1 · 2018-08-15T23:43:42+0000

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.